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Finding the Fourth Proportional to 249.17, 344.62 and 197.23

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Solution

The fourth proportional to 249.17, 344.62 and 197.23 is: 272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.17 : 344.62 = 197.23 : x
  2. Step 2: Convert to fraction form
    249.17/344.62 = 197.23/x
  3. Step 3: Cross multiply
    249.17x = 344.62 × 197.23
  4. Step 4: Simplify right side
    249.17x = 67,967.68
  5. Step 5: Solve for x
    x = 67,967.68/249.17
  6. Step 6: Final answer
    x = 272.78

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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.