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.
[209.832, 75.948, 192.347, 142.836, 178.564, 59.279, 114.898, 144.115, 40.177, 132.21]