Given the task definition and input, reply with output. In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.

[174.07, 179.112, 227.173, 193.593, 180.998]

[0.182 0.188 0.238 0.203 0.19 ]