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Finding the Fourth Proportional to 337.92, 466.20 and 206.88

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Solution

The fourth proportional to 337.92, 466.20 and 206.88 is: 285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 466.20 = 206.88 : x
  2. Step 2: Convert to fraction form
    337.92/466.20 = 206.88/x
  3. Step 3: Cross multiply
    337.92x = 466.20 × 206.88
  4. Step 4: Simplify right side
    337.92x = 96,447.46
  5. Step 5: Solve for x
    x = 96,447.46/337.92
  6. Step 6: Final answer
    x = 285.42

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