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Finding the Fourth Proportional to 296.29, 408.92 and 197.98

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Solution

The fourth proportional to 296.29, 408.92 and 197.98 is: 273.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.29 : 408.92 = 197.98 : x
  2. Step 2: Convert to fraction form
    296.29/408.92 = 197.98/x
  3. Step 3: Cross multiply
    296.29x = 408.92 × 197.98
  4. Step 4: Simplify right side
    296.29x = 80,955.97
  5. Step 5: Solve for x
    x = 80,955.97/296.29
  6. Step 6: Final answer
    x = 273.23

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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.