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Finding the Fourth Proportional to 197.96, 273.08 and 134.92

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Solution

The fourth proportional to 197.96, 273.08 and 134.92 is: 186.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.96 : 273.08 = 134.92 : x
  2. Step 2: Convert to fraction form
    197.96/273.08 = 134.92/x
  3. Step 3: Cross multiply
    197.96x = 273.08 × 134.92
  4. Step 4: Simplify right side
    197.96x = 36,843.28
  5. Step 5: Solve for x
    x = 36,843.28/197.96
  6. Step 6: Final answer
    x = 186.12

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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.