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Finding the Fourth Proportional to 197.72, 296.70 and 95.12

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Solution

The fourth proportional to 197.72, 296.70 and 95.12 is: 142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.72 : 296.70 = 95.12 : x
  2. Step 2: Convert to fraction form
    197.72/296.70 = 95.12/x
  3. Step 3: Cross multiply
    197.72x = 296.70 × 95.12
  4. Step 4: Simplify right side
    197.72x = 28,220.62
  5. Step 5: Solve for x
    x = 28,220.62/197.72
  6. Step 6: Final answer
    x = 142.73

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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.