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Finding the Fourth Proportional to 381.34, 572.12 and 137.86

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Solution

The fourth proportional to 381.34, 572.12 and 137.86 is: 206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.34 : 572.12 = 137.86 : x
  2. Step 2: Convert to fraction form
    381.34/572.12 = 137.86/x
  3. Step 3: Cross multiply
    381.34x = 572.12 × 137.86
  4. Step 4: Simplify right side
    381.34x = 78,872.46
  5. Step 5: Solve for x
    x = 78,872.46/381.34
  6. Step 6: Final answer
    x = 206.83

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