In Acts 17, Paul quotes and references the philosophers and thinkers that his audience knew and trusted. He did so while being respectful, and by using their arguments and ideas to point to Christ in an effective way. He used their culture to get people to understand the message of the gospel. Even today, we can protect the integrity of the Gospel message while still adapting how we present it to our culture.
A picture of this can be seen in the way some consumer products are advertised over time. The product may not change throughout the decades, but the way they’re packaged and promoted will vary based on cultural norms. Coffee is still coffee, but a commercial like this won’t be effective in 2020: https://youtu.be/YIIlQmRgmyg