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Finding the Fourth Proportional to 249.29, 344.03 and 138.77

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Solution

The fourth proportional to 249.29, 344.03 and 138.77 is: 191.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.29 : 344.03 = 138.77 : x
  2. Step 2: Convert to fraction form
    249.29/344.03 = 138.77/x
  3. Step 3: Cross multiply
    249.29x = 344.03 × 138.77
  4. Step 4: Simplify right side
    249.29x = 47,738.63
  5. Step 5: Solve for x
    x = 47,738.63/249.29
  6. Step 6: Final answer
    x = 191.50

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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.