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Finding the Fourth Proportional to 249.33, 344.00 and 196.88

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Solution

The fourth proportional to 249.33, 344.00 and 196.88 is: 271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.33 : 344.00 = 196.88 : x
  2. Step 2: Convert to fraction form
    249.33/344.00 = 196.88/x
  3. Step 3: Cross multiply
    249.33x = 344.00 × 196.88
  4. Step 4: Simplify right side
    249.33x = 67,726.32
  5. Step 5: Solve for x
    x = 67,726.32/249.33
  6. Step 6: Final answer
    x = 271.64

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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.