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Finding the Fourth Proportional to 252.35, 376.82 and 221.27

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Solution

The fourth proportional to 252.35, 376.82 and 221.27 is: 330.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.35 : 376.82 = 221.27 : x
  2. Step 2: Convert to fraction form
    252.35/376.82 = 221.27/x
  3. Step 3: Cross multiply
    252.35x = 376.82 × 221.27
  4. Step 4: Simplify right side
    252.35x = 83,375.97
  5. Step 5: Solve for x
    x = 83,375.97/252.35
  6. Step 6: Final answer
    x = 330.40

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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.