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.
Q: [161.038, -1.134, 167.182, 140.307, -16.339, 160.941, 176.346, -81.302, -87.544, -97.549]
A:

Show your work and conclude with the exact phrasing "Therefore, the final answer is [answer]." where [answer] is just the final number or expression that solves the problem.
user
[ 0.309 -0.002  0.32   0.269 -0.031  0.308  0.338 -0.156 -0.168 -0.187]