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Finding the Fourth Proportional to 229.92, 344.64 and 188.38

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Solution

The fourth proportional to 229.92, 344.64 and 188.38 is: 282.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.92 : 344.64 = 188.38 : x
  2. Step 2: Convert to fraction form
    229.92/344.64 = 188.38/x
  3. Step 3: Cross multiply
    229.92x = 344.64 × 188.38
  4. Step 4: Simplify right side
    229.92x = 64,923.28
  5. Step 5: Solve for x
    x = 64,923.28/229.92
  6. Step 6: Final answer
    x = 282.37

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