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Finding the Fourth Proportional to 197.32, 273.52 and 193.96

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Solution

The fourth proportional to 197.32, 273.52 and 193.96 is: 268.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.32 : 273.52 = 193.96 : x
  2. Step 2: Convert to fraction form
    197.32/273.52 = 193.96/x
  3. Step 3: Cross multiply
    197.32x = 273.52 × 193.96
  4. Step 4: Simplify right side
    197.32x = 53,051.94
  5. Step 5: Solve for x
    x = 53,051.94/197.32
  6. Step 6: Final answer
    x = 268.86

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.