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Finding the Fourth Proportional to 252, 375.50 and 224.75

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Solution

The fourth proportional to 252, 375.50 and 224.75 is: 334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252 : 375.50 = 224.75 : x
  2. Step 2: Convert to fraction form
    252/375.50 = 224.75/x
  3. Step 3: Cross multiply
    252x = 375.50 × 224.75
  4. Step 4: Simplify right side
    252x = 84,390.62
  5. Step 5: Solve for x
    x = 84,390.62/252
  6. Step 6: Final answer
    x = 334.88

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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.