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Finding the Fourth Proportional to 197.96, 273.21 and 115.07

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Solution

The fourth proportional to 197.96, 273.21 and 115.07 is: 158.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.96 : 273.21 = 115.07 : x
  2. Step 2: Convert to fraction form
    197.96/273.21 = 115.07/x
  3. Step 3: Cross multiply
    197.96x = 273.21 × 115.07
  4. Step 4: Simplify right side
    197.96x = 31,438.27
  5. Step 5: Solve for x
    x = 31,438.27/197.96
  6. Step 6: Final answer
    x = 158.81

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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.