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Finding the Fourth Proportional to 269.76, 372.42 and 195.24

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Solution

The fourth proportional to 269.76, 372.42 and 195.24 is: 269.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.76 : 372.42 = 195.24 : x
  2. Step 2: Convert to fraction form
    269.76/372.42 = 195.24/x
  3. Step 3: Cross multiply
    269.76x = 372.42 × 195.24
  4. Step 4: Simplify right side
    269.76x = 72,711.28
  5. Step 5: Solve for x
    x = 72,711.28/269.76
  6. Step 6: Final answer
    x = 269.54

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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.