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.

[9.293, 144.024, 77.159, -61.665, -87.43, 235.298, 26.975, 9.117, 84.907, 181.661]
[ 0.015  0.233  0.125 -0.1   -0.141  0.38   0.044  0.015  0.137  0.293]