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Finding the Fourth Proportional to 197.95, 273.17 and 112.78

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Solution

The fourth proportional to 197.95, 273.17 and 112.78 is: 155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.95 : 273.17 = 112.78 : x
  2. Step 2: Convert to fraction form
    197.95/273.17 = 112.78/x
  3. Step 3: Cross multiply
    197.95x = 273.17 × 112.78
  4. Step 4: Simplify right side
    197.95x = 30,808.11
  5. Step 5: Solve for x
    x = 30,808.11/197.95
  6. Step 6: Final answer
    x = 155.64

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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.