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Finding the Fourth Proportional to 249.22, 343.54 and 196.64

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Solution

The fourth proportional to 249.22, 343.54 and 196.64 is: 271.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.22 : 343.54 = 196.64 : x
  2. Step 2: Convert to fraction form
    249.22/343.54 = 196.64/x
  3. Step 3: Cross multiply
    249.22x = 343.54 × 196.64
  4. Step 4: Simplify right side
    249.22x = 67,553.71
  5. Step 5: Solve for x
    x = 67,553.71/249.22
  6. Step 6: Final answer
    x = 271.06

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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.