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Finding the Fourth Proportional to 331.85, 458.10 and 200.90

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Solution

The fourth proportional to 331.85, 458.10 and 200.90 is: 277.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.85 : 458.10 = 200.90 : x
  2. Step 2: Convert to fraction form
    331.85/458.10 = 200.90/x
  3. Step 3: Cross multiply
    331.85x = 458.10 × 200.90
  4. Step 4: Simplify right side
    331.85x = 92,030.00
  5. Step 5: Solve for x
    x = 92,030.00/331.85
  6. Step 6: Final answer
    x = 277.33

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