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Finding the Fourth Proportional to 332.01, 458.15 and 200.97

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Solution

The fourth proportional to 332.01, 458.15 and 200.97 is: 277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.01 : 458.15 = 200.97 : x
  2. Step 2: Convert to fraction form
    332.01/458.15 = 200.97/x
  3. Step 3: Cross multiply
    332.01x = 458.15 × 200.97
  4. Step 4: Simplify right side
    332.01x = 92,073.40
  5. Step 5: Solve for x
    x = 92,073.40/332.01
  6. Step 6: Final answer
    x = 277.32

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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.