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.
[141.42, 134.54, 69.632, 116.9, 48.342, 165.848, 89.235, 154.344, 195.658, 96.183]