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Finding the Fourth Proportional to 197.69, 296.56 and 67.66

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Solution

The fourth proportional to 197.69, 296.56 and 67.66 is: 101.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.69 : 296.56 = 67.66 : x
  2. Step 2: Convert to fraction form
    197.69/296.56 = 67.66/x
  3. Step 3: Cross multiply
    197.69x = 296.56 × 67.66
  4. Step 4: Simplify right side
    197.69x = 20,063.77
  5. Step 5: Solve for x
    x = 20,063.77/197.69
  6. Step 6: Final answer
    x = 101.49

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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.