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Finding the Fourth Proportional to 197.38, 295.70 and 120.12

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Solution

The fourth proportional to 197.38, 295.70 and 120.12 is: 179.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.38 : 295.70 = 120.12 : x
  2. Step 2: Convert to fraction form
    197.38/295.70 = 120.12/x
  3. Step 3: Cross multiply
    197.38x = 295.70 × 120.12
  4. Step 4: Simplify right side
    197.38x = 35,517.77
  5. Step 5: Solve for x
    x = 35,517.77/197.38
  6. Step 6: Final answer
    x = 179.95

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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.