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Finding the Fourth Proportional to 249.54, 344.33 and 149.93

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Solution

The fourth proportional to 249.54, 344.33 and 149.93 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.54 : 344.33 = 149.93 : x
  2. Step 2: Convert to fraction form
    249.54/344.33 = 149.93/x
  3. Step 3: Cross multiply
    249.54x = 344.33 × 149.93
  4. Step 4: Simplify right side
    249.54x = 51,625.40
  5. Step 5: Solve for x
    x = 51,625.40/249.54
  6. Step 6: Final answer
    x = 206.88

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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.