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Finding the Fourth Proportional to 381.82, 572.28 and 138.16

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Solution

The fourth proportional to 381.82, 572.28 and 138.16 is: 207.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.82 : 572.28 = 138.16 : x
  2. Step 2: Convert to fraction form
    381.82/572.28 = 138.16/x
  3. Step 3: Cross multiply
    381.82x = 572.28 × 138.16
  4. Step 4: Simplify right side
    381.82x = 79,066.20
  5. Step 5: Solve for x
    x = 79,066.20/381.82
  6. Step 6: Final answer
    x = 207.08

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