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Finding the Fourth Proportional to 197.67, 272.77 and 109.15

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Solution

The fourth proportional to 197.67, 272.77 and 109.15 is: 150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 272.77 = 109.15 : x
  2. Step 2: Convert to fraction form
    197.67/272.77 = 109.15/x
  3. Step 3: Cross multiply
    197.67x = 272.77 × 109.15
  4. Step 4: Simplify right side
    197.67x = 29,772.85
  5. Step 5: Solve for x
    x = 29,772.85/197.67
  6. Step 6: Final answer
    x = 150.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.