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Finding the Fourth Proportional to 381.81, 572.75 and 138.28

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Solution

The fourth proportional to 381.81, 572.75 and 138.28 is: 207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.81 : 572.75 = 138.28 : x
  2. Step 2: Convert to fraction form
    381.81/572.75 = 138.28/x
  3. Step 3: Cross multiply
    381.81x = 572.75 × 138.28
  4. Step 4: Simplify right side
    381.81x = 79,199.87
  5. Step 5: Solve for x
    x = 79,199.87/381.81
  6. Step 6: Final answer
    x = 207.43

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