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Finding the Fourth Proportional to 252.62, 348.74 and 196.47

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Solution

The fourth proportional to 252.62, 348.74 and 196.47 is: 271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.62 : 348.74 = 196.47 : x
  2. Step 2: Convert to fraction form
    252.62/348.74 = 196.47/x
  3. Step 3: Cross multiply
    252.62x = 348.74 × 196.47
  4. Step 4: Simplify right side
    252.62x = 68,515.97
  5. Step 5: Solve for x
    x = 68,515.97/252.62
  6. Step 6: Final answer
    x = 271.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.