All members of our painting team paint at the same rate. If $45$ members can paint a specific wall in $60$ minutes, then how long would it take $12$ members to paint the same wall, in minutes?

If $45$ members can complete the job in $60$ minutes, then $1$ member would need $45$ times as long to complete the same job, or $45\cdot60=2700$ minutes. Finally, $12$ members working at the same rate will complete the job in $\boxed{225}$ minutes.