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Finding the Fourth Proportional to 293.14, 404.49 and 195.04

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Solution

The fourth proportional to 293.14, 404.49 and 195.04 is: 269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 404.49 = 195.04 : x
  2. Step 2: Convert to fraction form
    293.14/404.49 = 195.04/x
  3. Step 3: Cross multiply
    293.14x = 404.49 × 195.04
  4. Step 4: Simplify right side
    293.14x = 78,891.73
  5. Step 5: Solve for x
    x = 78,891.73/293.14
  6. Step 6: Final answer
    x = 269.13

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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.