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Finding the Fourth Proportional to 296.24, 408.72 and 197.84

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Solution

The fourth proportional to 296.24, 408.72 and 197.84 is: 272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.24 : 408.72 = 197.84 : x
  2. Step 2: Convert to fraction form
    296.24/408.72 = 197.84/x
  3. Step 3: Cross multiply
    296.24x = 408.72 × 197.84
  4. Step 4: Simplify right side
    296.24x = 80,861.16
  5. Step 5: Solve for x
    x = 80,861.16/296.24
  6. Step 6: Final answer
    x = 272.96

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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.