In an adjustable nozzle for a garden hose, a cylindrical plug is aligned along the axis of the hose and can be inserted into the hose opening. The purpose of the plug is to allow the water to escape around the plug and change the speed of the water leaving the hose. The speed of the water passing around the plug is to be 5 times as large as the speed of the water before it encounters the plug. Find the ratio of the plug radius to the inside hose radius.

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