Smoothing out new plaster patches with existing ceiling

[Question]

We have a number of new plaster patches in our house,  for example 1.5 meters by 0.8 meters on the ceiling.   When I ran my hand over the existing ceiling to the plaster, I felt the plaster sticks out a bit  (towards the ground).    It can abruptly stick out around the edges of the new plaster next to the existing ceiling.  I am planning to skim that area with Easyfill to smooth it out. 

 

Is my approach sensible to use Easyfill to smooth out the area?  Do you have any other suggestions?

[Big Jimbo]

Big band of easyfill around the edges of new plaster to new. A decent 12" or so wide band. Then sand with either a wood, or cork block.