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Finding the Fourth Proportional to 252.26, 376.24 and 221.62

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Solution

The fourth proportional to 252.26, 376.24 and 221.62 is: 330.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.26 : 376.24 = 221.62 : x
  2. Step 2: Convert to fraction form
    252.26/376.24 = 221.62/x
  3. Step 3: Cross multiply
    252.26x = 376.24 × 221.62
  4. Step 4: Simplify right side
    252.26x = 83,379.87
  5. Step 5: Solve for x
    x = 83,379.87/252.26
  6. Step 6: Final answer
    x = 330.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.