I have 208 VAC coil voltage relay that I want to operate with 240 VAC. Can
I drop the voltage down with a capacitor? If so what value? Should the
capacitor be rated for 370 VAC? I don't know the impedance of the coil.
Can I find it with a meter?

If C1,C2 are capacitors,

Vin-----
|
= C1
|
o-------Vout
|
= C2
|
_
COM

Vout = Vin *C1/(C1+C2)

208/240 = 86/(86+14)

Can I do it with an 860mfd capacitor and a 140mfd capacitor? Should they be
rated for 370 volts?