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Finding the Fourth Proportional to 381.73, 572.64 and 165.28

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Solution

The fourth proportional to 381.73, 572.64 and 165.28 is: 247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.73 : 572.64 = 165.28 : x
  2. Step 2: Convert to fraction form
    381.73/572.64 = 165.28/x
  3. Step 3: Cross multiply
    381.73x = 572.64 × 165.28
  4. Step 4: Simplify right side
    381.73x = 94,645.94
  5. Step 5: Solve for x
    x = 94,645.94/381.73
  6. Step 6: Final answer
    x = 247.94

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