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Finding the Fourth Proportional to 249.34, 344.13 and 149.78

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Solution

The fourth proportional to 249.34, 344.13 and 149.78 is: 206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.34 : 344.13 = 149.78 : x
  2. Step 2: Convert to fraction form
    249.34/344.13 = 149.78/x
  3. Step 3: Cross multiply
    249.34x = 344.13 × 149.78
  4. Step 4: Simplify right side
    249.34x = 51,543.79
  5. Step 5: Solve for x
    x = 51,543.79/249.34
  6. Step 6: Final answer
    x = 206.72

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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.