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Finding the Fourth Proportional to 252.22, 376.40 and 224.88

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Solution

The fourth proportional to 252.22, 376.40 and 224.88 is: 335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.22 : 376.40 = 224.88 : x
  2. Step 2: Convert to fraction form
    252.22/376.40 = 224.88/x
  3. Step 3: Cross multiply
    252.22x = 376.40 × 224.88
  4. Step 4: Simplify right side
    252.22x = 84,644.83
  5. Step 5: Solve for x
    x = 84,644.83/252.22
  6. Step 6: Final answer
    x = 335.60

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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.