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Finding the Fourth Proportional to 249.61, 344.46 and 137.58

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Solution

The fourth proportional to 249.61, 344.46 and 137.58 is: 189.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.61 : 344.46 = 137.58 : x
  2. Step 2: Convert to fraction form
    249.61/344.46 = 137.58/x
  3. Step 3: Cross multiply
    249.61x = 344.46 × 137.58
  4. Step 4: Simplify right side
    249.61x = 47,390.81
  5. Step 5: Solve for x
    x = 47,390.81/249.61
  6. Step 6: Final answer
    x = 189.86

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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.