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Finding the Fourth Proportional to 252.76, 376.94 and 224.76

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Solution

The fourth proportional to 252.76, 376.94 and 224.76 is: 335.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.76 : 376.94 = 224.76 : x
  2. Step 2: Convert to fraction form
    252.76/376.94 = 224.76/x
  3. Step 3: Cross multiply
    252.76x = 376.94 × 224.76
  4. Step 4: Simplify right side
    252.76x = 84,723.22
  5. Step 5: Solve for x
    x = 84,723.22/252.76
  6. Step 6: Final answer
    x = 335.19

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Why These Related Problems?

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