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Finding the Fourth Proportional to 249.30, 344.00 and 138.74

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Solution

The fourth proportional to 249.30, 344.00 and 138.74 is: 191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.30 : 344.00 = 138.74 : x
  2. Step 2: Convert to fraction form
    249.30/344.00 = 138.74/x
  3. Step 3: Cross multiply
    249.30x = 344.00 × 138.74
  4. Step 4: Simplify right side
    249.30x = 47,725.37
  5. Step 5: Solve for x
    x = 47,725.37/249.30
  6. Step 6: Final answer
    x = 191.44

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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.