Can you do it without the co-ordinates?

Geometry Level 4

Three circles are tangent to each other:

  • the first has center \((0,0)\) and radius 4,

  • the second has center \((3,0)\) and radius 1, and

  • the third circle has center \((-1,0)\) and radius 3.

Find the radius of a fourth circle tangent to each of these 3 circles to 3 decimal places.

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