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Finding the Fourth Proportional to 381.24, 571.95 and 137.70

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Solution

The fourth proportional to 381.24, 571.95 and 137.70 is: 206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.24 : 571.95 = 137.70 : x
  2. Step 2: Convert to fraction form
    381.24/571.95 = 137.70/x
  3. Step 3: Cross multiply
    381.24x = 571.95 × 137.70
  4. Step 4: Simplify right side
    381.24x = 78,757.52
  5. Step 5: Solve for x
    x = 78,757.52/381.24
  6. Step 6: Final answer
    x = 206.58

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