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Finding the Fourth Proportional to 197.62, 296.34 and 116.49

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Solution

The fourth proportional to 197.62, 296.34 and 116.49 is: 174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.62 : 296.34 = 116.49 : x
  2. Step 2: Convert to fraction form
    197.62/296.34 = 116.49/x
  3. Step 3: Cross multiply
    197.62x = 296.34 × 116.49
  4. Step 4: Simplify right side
    197.62x = 34,520.65
  5. Step 5: Solve for x
    x = 34,520.65/197.62
  6. Step 6: Final answer
    x = 174.68

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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.