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Finding the Fourth Proportional to 269.73, 404.15 and 192.33

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Solution

The fourth proportional to 269.73, 404.15 and 192.33 is: 288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.73 : 404.15 = 192.33 : x
  2. Step 2: Convert to fraction form
    269.73/404.15 = 192.33/x
  3. Step 3: Cross multiply
    269.73x = 404.15 × 192.33
  4. Step 4: Simplify right side
    269.73x = 77,729.21
  5. Step 5: Solve for x
    x = 77,729.21/269.73
  6. Step 6: Final answer
    x = 288.17

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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.