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.

[133.623, 181.027, -0.824, 184.242, 32.46, 193.637, 48.621, 48.12, -78.97, -67.245]
[ 0.198  0.268 -0.001  0.273  0.048  0.287  0.072  0.071 -0.117 -0.1  ]