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Finding the Fourth Proportional to 197.31, 296.07 and 75.66

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Solution

The fourth proportional to 197.31, 296.07 and 75.66 is: 113.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.31 : 296.07 = 75.66 : x
  2. Step 2: Convert to fraction form
    197.31/296.07 = 75.66/x
  3. Step 3: Cross multiply
    197.31x = 296.07 × 75.66
  4. Step 4: Simplify right side
    197.31x = 22,400.66
  5. Step 5: Solve for x
    x = 22,400.66/197.31
  6. Step 6: Final answer
    x = 113.53

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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.