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Finding the Fourth Proportional to 269.48, 404.40 and 197.48

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Solution

The fourth proportional to 269.48, 404.40 and 197.48 is: 296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.48 : 404.40 = 197.48 : x
  2. Step 2: Convert to fraction form
    269.48/404.40 = 197.48/x
  3. Step 3: Cross multiply
    269.48x = 404.40 × 197.48
  4. Step 4: Simplify right side
    269.48x = 79,860.91
  5. Step 5: Solve for x
    x = 79,860.91/269.48
  6. Step 6: Final answer
    x = 296.35

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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.