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Yes, it should function. the only problem being the power output which will be slightly less or the consumption greater. The only possible problem being if it is an electronicly controlled one, then a "guard dog" system may stop the heater from working. Guard dog is a system which stops systems from operating at a too low voltage as this may cause regulation problems .
Power= voltage X currant so for the same power output the heater will have to consume more amps (or the power will diminish in proportion to the voltage drop).

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Q: Can a 240 v heater run on 208 v?
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