The number of initial listeners who listened to a new radio show was 157 lisners per episode. After the show started advertising, the number of listeners increased by 27% over the course of one month. The number of listeners, n, can be modeled by the function n(t)=157(1.27)t, where t is the number of months that have passed since the radio show started advertising. To the nearest tenth, how many months would it take for the number of listeners to triple if this trend continues?