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Finding the Fourth Proportional to 249.50, 344.32 and 138.96

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Solution

The fourth proportional to 249.50, 344.32 and 138.96 is: 191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.50 : 344.32 = 138.96 : x
  2. Step 2: Convert to fraction form
    249.50/344.32 = 138.96/x
  3. Step 3: Cross multiply
    249.50x = 344.32 × 138.96
  4. Step 4: Simplify right side
    249.50x = 47,846.36
  5. Step 5: Solve for x
    x = 47,846.36/249.50
  6. Step 6: Final answer
    x = 191.77

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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.