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Finding the Fourth Proportional to 381.22, 571.76 and 137.71

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Solution

The fourth proportional to 381.22, 571.76 and 137.71 is: 206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.22 : 571.76 = 137.71 : x
  2. Step 2: Convert to fraction form
    381.22/571.76 = 137.71/x
  3. Step 3: Cross multiply
    381.22x = 571.76 × 137.71
  4. Step 4: Simplify right side
    381.22x = 78,737.61
  5. Step 5: Solve for x
    x = 78,737.61/381.22
  6. Step 6: Final answer
    x = 206.54

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