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Finding the Fourth Proportional to 490.47, 735.69 and 165.75

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Solution

The fourth proportional to 490.47, 735.69 and 165.75 is: 248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.47 : 735.69 = 165.75 : x
  2. Step 2: Convert to fraction form
    490.47/735.69 = 165.75/x
  3. Step 3: Cross multiply
    490.47x = 735.69 × 165.75
  4. Step 4: Simplify right side
    490.47x = 121,940.62
  5. Step 5: Solve for x
    x = 121,940.62/490.47
  6. Step 6: Final answer
    x = 248.62

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