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Finding the Fourth Proportional to 252.32, 376.25 and 224.98

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Solution

The fourth proportional to 252.32, 376.25 and 224.98 is: 335.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.32 : 376.25 = 224.98 : x
  2. Step 2: Convert to fraction form
    252.32/376.25 = 224.98/x
  3. Step 3: Cross multiply
    252.32x = 376.25 × 224.98
  4. Step 4: Simplify right side
    252.32x = 84,646.66
  5. Step 5: Solve for x
    x = 84,646.66/252.32
  6. Step 6: Final answer
    x = 335.48

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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.