Along with getting swoll as Forever King said here are my basic rules for attracting a woman.
1. Get to know her.
Through my experiences with relationships I have only once ever dated a girl that I didn't know for at the very least three months and became close with. Guess what? The one that I just asked out randomly only lasted three weeks. I like to know every intricacy of who they are, what they like in a man, their interests in life, their career goals, the past mistakes they have made (not so much with relationships but in anything in life).
2. The little things count.
When I first start going after a woman, I'm not going to shower them in gifts or compliments. If they like chocolate I will make sure to grab an extra piece if chocolate or a candy bar. See, being in the health care business I meet most of my relationships at work, mostly nurses. They appreciate a piece of candy or a cup of coffee. Find out what they appreciate and like when it comes to the small things in life.
The current woman I am seeing, I started off just chatting with her and becoming friends over the first two months of working with her. When I was doing rounds I would leave a Hershey kiss, Dunkin donuts muffin, or a candy bar at the nurses station for her. She appreciated those small things because I found out after becoming friends with her that her former boyfriend did nothing for her, never took her anywhere, and was a complete douchebag.
So, I made sure that even if it was just a piece of chocolate; she knew I was thinking about her. This is a ton easier when you form some sort of bond with the person.
3. Be yourself and be confident (within reason)
No matter what anybody tells you, women LOVE confidence. However, they don't like that sickening macho bullshit. If your swoll you don't need to act it, you can see it. Be proud of yourself, be proud of who YOU are and don't let her or your friends away that part of you.
4. Show her that you care.
Going along with the theme that the little things matter, showing her that you care for her is the biggest turn on for women.
When I first met my current girlfriend and became friends with her, we would frequently go outside on break and be alone and just bullshit. I knew her history with her boyfriend at the time and that he abused her and choked her. She didn't know that I knew so I used that to my advantage. When I really started getting the itch for her one night, I grabbed her hand, looked into her eyes and said, "Stacey, I know that you are going through a lot, I can just see it in your eyes."
The look that she gave me was the most amazing and emotional look I have ever seen glare from a woman. Her eyes filled up but she didn't cry, she just looked into my eyes and said, "You're such a sweetheart" and laid a kiss on my cheek.
A few days later a very close female friend of mine and hers came up to me and said that she was drooling over me, she left her boyfriend, and wants to be with me. She wanted someone who make her feel loved and cared about.
In conclusion, the most important thing you can do is befriend this woman/girl, get to know her, and then take it from there. Maybe it just works for me because my job/profession is the only time that I get to interact and socialize with females (amazing ratio by the way, if you're a male and get into healthcare; guaranteed to meet a woman), but anytime that I have had a relationship with someone that I befriended, it has always lasted longer and both of us were happy.
It will take time but in the end it will be worth it and I guarantee that both of you will have a stronger bond.
Also, a little bit of Dr. Bore's romance advice, look her in the lips when you talk to her. It stimulates sexual desires in the brain that makes her want you.
Oh, and treat her right if you do get her. I see far too many domestic violence cases where the man beats up their girl and he has a knife rammed in his gut.
Good luck.