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Finding the Fourth Proportional to 197.67, 296.54 and 116.47

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Solution

The fourth proportional to 197.67, 296.54 and 116.47 is: 174.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 296.54 = 116.47 : x
  2. Step 2: Convert to fraction form
    197.67/296.54 = 116.47/x
  3. Step 3: Cross multiply
    197.67x = 296.54 × 116.47
  4. Step 4: Simplify right side
    197.67x = 34,535.95
  5. Step 5: Solve for x
    x = 34,535.95/197.67
  6. Step 6: Final answer
    x = 174.72

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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.