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Finding the Fourth Proportional to 296.14, 408.69 and 196.38

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Solution

The fourth proportional to 296.14, 408.69 and 196.38 is: 271.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.14 : 408.69 = 196.38 : x
  2. Step 2: Convert to fraction form
    296.14/408.69 = 196.38/x
  3. Step 3: Cross multiply
    296.14x = 408.69 × 196.38
  4. Step 4: Simplify right side
    296.14x = 80,255.52
  5. Step 5: Solve for x
    x = 80,255.52/296.14
  6. Step 6: Final answer
    x = 271.01

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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.