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Finding the Fourth Proportional to 382.28, 573.52 and 165.90

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Solution

The fourth proportional to 382.28, 573.52 and 165.90 is: 248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.28 : 573.52 = 165.90 : x
  2. Step 2: Convert to fraction form
    382.28/573.52 = 165.90/x
  3. Step 3: Cross multiply
    382.28x = 573.52 × 165.90
  4. Step 4: Simplify right side
    382.28x = 95,146.97
  5. Step 5: Solve for x
    x = 95,146.97/382.28
  6. Step 6: Final answer
    x = 248.89

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