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Finding the Fourth Proportional to 225.26, 338.57 and 220.47

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Solution

The fourth proportional to 225.26, 338.57 and 220.47 is: 331.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.26 : 338.57 = 220.47 : x
  2. Step 2: Convert to fraction form
    225.26/338.57 = 220.47/x
  3. Step 3: Cross multiply
    225.26x = 338.57 × 220.47
  4. Step 4: Simplify right side
    225.26x = 74,644.53
  5. Step 5: Solve for x
    x = 74,644.53/225.26
  6. Step 6: Final answer
    x = 331.37

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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.