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Finding the Fourth Proportional to 269.37, 404.18 and 196.31

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Solution

The fourth proportional to 269.37, 404.18 and 196.31 is: 294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.37 : 404.18 = 196.31 : x
  2. Step 2: Convert to fraction form
    269.37/404.18 = 196.31/x
  3. Step 3: Cross multiply
    269.37x = 404.18 × 196.31
  4. Step 4: Simplify right side
    269.37x = 79,344.60
  5. Step 5: Solve for x
    x = 79,344.60/269.37
  6. Step 6: Final answer
    x = 294.56

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