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Finding the Fourth Proportional to 249.34, 344.05 and 138.81

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Solution

The fourth proportional to 249.34, 344.05 and 138.81 is: 191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.34 : 344.05 = 138.81 : x
  2. Step 2: Convert to fraction form
    249.34/344.05 = 138.81/x
  3. Step 3: Cross multiply
    249.34x = 344.05 × 138.81
  4. Step 4: Simplify right side
    249.34x = 47,755.17
  5. Step 5: Solve for x
    x = 47,755.17/249.34
  6. Step 6: Final answer
    x = 191.53

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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.