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Finding the Fourth Proportional to 490.32, 735.75 and 165.78

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Solution

The fourth proportional to 490.32, 735.75 and 165.78 is: 248.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.32 : 735.75 = 165.78 : x
  2. Step 2: Convert to fraction form
    490.32/735.75 = 165.78/x
  3. Step 3: Cross multiply
    490.32x = 735.75 × 165.78
  4. Step 4: Simplify right side
    490.32x = 121,972.64
  5. Step 5: Solve for x
    x = 121,972.64/490.32
  6. Step 6: Final answer
    x = 248.76

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