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Finding the Fourth Proportional to 331.97, 458.08 and 200.95

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Solution

The fourth proportional to 331.97, 458.08 and 200.95 is: 277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.97 : 458.08 = 200.95 : x
  2. Step 2: Convert to fraction form
    331.97/458.08 = 200.95/x
  3. Step 3: Cross multiply
    331.97x = 458.08 × 200.95
  4. Step 4: Simplify right side
    331.97x = 92,049.53
  5. Step 5: Solve for x
    x = 92,049.53/331.97
  6. Step 6: Final answer
    x = 277.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.