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Finding the Fourth Proportional to 269.86, 372.26 and 225.82

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Solution

The fourth proportional to 269.86, 372.26 and 225.82 is: 311.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.86 : 372.26 = 225.82 : x
  2. Step 2: Convert to fraction form
    269.86/372.26 = 225.82/x
  3. Step 3: Cross multiply
    269.86x = 372.26 × 225.82
  4. Step 4: Simplify right side
    269.86x = 84,063.75
  5. Step 5: Solve for x
    x = 84,063.75/269.86
  6. Step 6: Final answer
    x = 311.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.