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Finding the Fourth Proportional to 249.49, 344.05 and 149.88

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Solution

The fourth proportional to 249.49, 344.05 and 149.88 is: 206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.49 : 344.05 = 149.88 : x
  2. Step 2: Convert to fraction form
    249.49/344.05 = 149.88/x
  3. Step 3: Cross multiply
    249.49x = 344.05 × 149.88
  4. Step 4: Simplify right side
    249.49x = 51,567.13
  5. Step 5: Solve for x
    x = 51,567.13/249.49
  6. Step 6: Final answer
    x = 206.69

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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.