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Finding the Fourth Proportional to 381.84, 572.58 and 138.20

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Solution

The fourth proportional to 381.84, 572.58 and 138.20 is: 207.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.84 : 572.58 = 138.20 : x
  2. Step 2: Convert to fraction form
    381.84/572.58 = 138.20/x
  3. Step 3: Cross multiply
    381.84x = 572.58 × 138.20
  4. Step 4: Simplify right side
    381.84x = 79,127.69
  5. Step 5: Solve for x
    x = 79,127.69/381.84
  6. Step 6: Final answer
    x = 207.23

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