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Finding the Fourth Proportional to 296.22, 408.95 and 196.77

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Solution

The fourth proportional to 296.22, 408.95 and 196.77 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.22 : 408.95 = 196.77 : x
  2. Step 2: Convert to fraction form
    296.22/408.95 = 196.77/x
  3. Step 3: Cross multiply
    296.22x = 408.95 × 196.77
  4. Step 4: Simplify right side
    296.22x = 80,470.38
  5. Step 5: Solve for x
    x = 80,470.38/296.22
  6. Step 6: Final answer
    x = 271.65

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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.