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Finding the Fourth Proportional to 381.89, 572.96 and 138.44

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Solution

The fourth proportional to 381.89, 572.96 and 138.44 is: 207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.89 : 572.96 = 138.44 : x
  2. Step 2: Convert to fraction form
    381.89/572.96 = 138.44/x
  3. Step 3: Cross multiply
    381.89x = 572.96 × 138.44
  4. Step 4: Simplify right side
    381.89x = 79,319.89
  5. Step 5: Solve for x
    x = 79,319.89/381.89
  6. Step 6: Final answer
    x = 207.70

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