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Finding the Fourth Proportional to 269.74, 404.74 and 125.44

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Solution

The fourth proportional to 269.74, 404.74 and 125.44 is: 188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.74 : 404.74 = 125.44 : x
  2. Step 2: Convert to fraction form
    269.74/404.74 = 125.44/x
  3. Step 3: Cross multiply
    269.74x = 404.74 × 125.44
  4. Step 4: Simplify right side
    269.74x = 50,770.59
  5. Step 5: Solve for x
    x = 50,770.59/269.74
  6. Step 6: Final answer
    x = 188.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.