Romans were, as anyone or anything else would be, hesitant to adopting the Greek culture, but as they learned more about the Greek culture, as they grew to understand the Greek culture, they came to liking it, and therefore they adopted it.
Many changes were involved during the adaption here. Buildings were combined in the Roman and Greek way, food was eaten how both religions would eat it, and many, many different changes. But then they began to combine the two cultures into one culture: the Greco-Roman culture.
Both cultures and nations were doing fine on their own before the big change, but once they combined their two fine cultures into one great culture, their nation prospered.