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Finding the Fourth Proportional to 197.82, 273.02 and 113.83

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Solution

The fourth proportional to 197.82, 273.02 and 113.83 is: 157.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 273.02 = 113.83 : x
  2. Step 2: Convert to fraction form
    197.82/273.02 = 113.83/x
  3. Step 3: Cross multiply
    197.82x = 273.02 × 113.83
  4. Step 4: Simplify right side
    197.82x = 31,076.61
  5. Step 5: Solve for x
    x = 31,076.61/197.82
  6. Step 6: Final answer
    x = 157.10

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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.