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Finding the Fourth Proportional to 331.92, 458 and 200.88

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Solution

The fourth proportional to 331.92, 458 and 200.88 is: 277.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.92 : 458 = 200.88 : x
  2. Step 2: Convert to fraction form
    331.92/458 = 200.88/x
  3. Step 3: Cross multiply
    331.92x = 458 × 200.88
  4. Step 4: Simplify right side
    331.92x = 92,003.04
  5. Step 5: Solve for x
    x = 92,003.04/331.92
  6. Step 6: Final answer
    x = 277.18

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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.