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Finding the Fourth Proportional to 197.78, 296.34 and 67.71

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Solution

The fourth proportional to 197.78, 296.34 and 67.71 is: 101.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.78 : 296.34 = 67.71 : x
  2. Step 2: Convert to fraction form
    197.78/296.34 = 67.71/x
  3. Step 3: Cross multiply
    197.78x = 296.34 × 67.71
  4. Step 4: Simplify right side
    197.78x = 20,063.75
  5. Step 5: Solve for x
    x = 20,063.75/197.78
  6. Step 6: Final answer
    x = 101.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.