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Finding the Fourth Proportional to 197.46, 296.26 and 75.80

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Solution

The fourth proportional to 197.46, 296.26 and 75.80 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.46 : 296.26 = 75.80 : x
  2. Step 2: Convert to fraction form
    197.46/296.26 = 75.80/x
  3. Step 3: Cross multiply
    197.46x = 296.26 × 75.80
  4. Step 4: Simplify right side
    197.46x = 22,456.51
  5. Step 5: Solve for x
    x = 22,456.51/197.46
  6. Step 6: Final answer
    x = 113.73

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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.