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Finding the Fourth Proportional to 297.28, 445.20 and 225.28

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Solution

The fourth proportional to 297.28, 445.20 and 225.28 is: 337.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.28 : 445.20 = 225.28 : x
  2. Step 2: Convert to fraction form
    297.28/445.20 = 225.28/x
  3. Step 3: Cross multiply
    297.28x = 445.20 × 225.28
  4. Step 4: Simplify right side
    297.28x = 100,294.66
  5. Step 5: Solve for x
    x = 100,294.66/297.28
  6. Step 6: Final answer
    x = 337.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.