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Finding the Fourth Proportional to 252.17, 376.45 and 224.83

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Solution

The fourth proportional to 252.17, 376.45 and 224.83 is: 335.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.17 : 376.45 = 224.83 : x
  2. Step 2: Convert to fraction form
    252.17/376.45 = 224.83/x
  3. Step 3: Cross multiply
    252.17x = 376.45 × 224.83
  4. Step 4: Simplify right side
    252.17x = 84,637.25
  5. Step 5: Solve for x
    x = 84,637.25/252.17
  6. Step 6: Final answer
    x = 335.64

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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.