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Finding the Fourth Proportional to 296.05, 408.62 and 197.90

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Solution

The fourth proportional to 296.05, 408.62 and 197.90 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.05 : 408.62 = 197.90 : x
  2. Step 2: Convert to fraction form
    296.05/408.62 = 197.90/x
  3. Step 3: Cross multiply
    296.05x = 408.62 × 197.90
  4. Step 4: Simplify right side
    296.05x = 80,865.90
  5. Step 5: Solve for x
    x = 80,865.90/296.05
  6. Step 6: Final answer
    x = 273.15

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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.