Well, I've been following this line of discussion in this thread (not the OP question) trying hard to withhold my comment but I'll throw it out there now.
In a way I agree (or recognize truth) with the comment saying that it is more so wrong for a Woman to do such things than it is for a man. Not that I personally agree with it or see scripture teaching this directly, especially in the NT, but culturally this is quite correct.
To illustrate the point, recall the story of the Woman that was brought before Jesus because she was caught in adultery? Where was the man she was doing this with? He was not also brought before Jesus. Why so? Because culturally it was not as bad for a man to do such things as it was for a woman (depending on the case).
I can get into reasoning regarding their views on this but this would be a discussion in itself. Generally though, in most cultures, women are generally held to a higher standard of conduct when it comes to sexuality.
But now in the eyes of God, we are all equally held to the higher standard. Be it for marriage, dating or any type of relationship of such manner (regarding the main question of the thread), we are required not to pursue such relationships out side of our Christian faith. Becoming a Christian after making a commitment to marriage is one thing, but pursuing a relationship as a Christian with a non-Christian is quite another thing (wrong thing) and this is very clear in scripture.