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Finding the Fourth Proportional to 269.60, 372.14 and 186.82

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Solution

The fourth proportional to 269.60, 372.14 and 186.82 is: 257.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.60 : 372.14 = 186.82 : x
  2. Step 2: Convert to fraction form
    269.60/372.14 = 186.82/x
  3. Step 3: Cross multiply
    269.60x = 372.14 × 186.82
  4. Step 4: Simplify right side
    269.60x = 69,523.61
  5. Step 5: Solve for x
    x = 69,523.61/269.60
  6. Step 6: Final answer
    x = 257.87

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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.