Can't find mistake on Spring/block Energy problem

[falco451]

Homework Statement

A 1.93 kg block situated on a rough incline with 38.2 angle is connected to a spring of negligible mass having a spring constant of 90 N/m.
The block is released from rest when the spring is unstretched, and the pulley is frictionless. The block moves 10.9 cm down the incline before coming to rest.

Homework Equations

W = (fk cos 180)
x= -$$\mu$$k(mg cos theta)
Wnc = ( KE + PEg + PE s)f - (KE + PEg + PEs)i

The Attempt at a Solution

I used the equations and combined them to get:
-$$\mu$$k(18.194N cos 38.2) (.109) = 0 + (18.194)(-.109sin 38.2)
+ .5(90 N/m)(.109^2)

For my answer I got $$\mu$$k = .4438645593
It says that my answer is wrong and I can't find what I did wrong. I recalculated several times and still got the same answer. Can you help me? Thank you!

 

[falco451]

I retried calculating, and I got a different answer that was close to the one I had already gotten, but it was still wrong.