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Finding the Fourth Proportional to 249.60, 344.46 and 139.08

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Solution

The fourth proportional to 249.60, 344.46 and 139.08 is: 191.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.60 : 344.46 = 139.08 : x
  2. Step 2: Convert to fraction form
    249.60/344.46 = 139.08/x
  3. Step 3: Cross multiply
    249.60x = 344.46 × 139.08
  4. Step 4: Simplify right side
    249.60x = 47,907.50
  5. Step 5: Solve for x
    x = 47,907.50/249.60
  6. Step 6: Final answer
    x = 191.94

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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.