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Finding the Fourth Proportional to 331.96, 458.11 and 200.89

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Solution

The fourth proportional to 331.96, 458.11 and 200.89 is: 277.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 458.11 = 200.89 : x
  2. Step 2: Convert to fraction form
    331.96/458.11 = 200.89/x
  3. Step 3: Cross multiply
    331.96x = 458.11 × 200.89
  4. Step 4: Simplify right side
    331.96x = 92,029.72
  5. Step 5: Solve for x
    x = 92,029.72/331.96
  6. Step 6: Final answer
    x = 277.23

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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.