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Finding the Fourth Proportional to 381.75, 572.67 and 165.21

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Solution

The fourth proportional to 381.75, 572.67 and 165.21 is: 247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 572.67 = 165.21 : x
  2. Step 2: Convert to fraction form
    381.75/572.67 = 165.21/x
  3. Step 3: Cross multiply
    381.75x = 572.67 × 165.21
  4. Step 4: Simplify right side
    381.75x = 94,610.81
  5. Step 5: Solve for x
    x = 94,610.81/381.75
  6. Step 6: Final answer
    x = 247.83

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