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Finding the Fourth Proportional to 197.96, 273.24 and 135.80

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Solution

The fourth proportional to 197.96, 273.24 and 135.80 is: 187.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.96 : 273.24 = 135.80 : x
  2. Step 2: Convert to fraction form
    197.96/273.24 = 135.80/x
  3. Step 3: Cross multiply
    197.96x = 273.24 × 135.80
  4. Step 4: Simplify right side
    197.96x = 37,105.99
  5. Step 5: Solve for x
    x = 37,105.99/197.96
  6. Step 6: Final answer
    x = 187.44

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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.