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Weight is important because dating when you bring it down to basic instinct is looking for a mate and men instinctively want healthy children. A woman who is overweight increases the risk of her child developing metabolic diseases. However, being skinny isn't healthy either as their is something called skinny fat.
Weight is a deciding factor but other aspects of how well she takes care of herself is also important. Such as if she does drugs, she could be a skinny girl but if she does cocaine (which helped her lose weight) most men aint' gonna pick her for LTR.