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Finding the Fourth Proportional to 252.12, 376.23 and 224.85

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Solution

The fourth proportional to 252.12, 376.23 and 224.85 is: 335.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.12 : 376.23 = 224.85 : x
  2. Step 2: Convert to fraction form
    252.12/376.23 = 224.85/x
  3. Step 3: Cross multiply
    252.12x = 376.23 × 224.85
  4. Step 4: Simplify right side
    252.12x = 84,595.32
  5. Step 5: Solve for x
    x = 84,595.32/252.12
  6. Step 6: Final answer
    x = 335.54

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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.