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Finding the Fourth Proportional to 197.12, 273.44 and 186.74

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Solution

The fourth proportional to 197.12, 273.44 and 186.74 is: 259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.12 : 273.44 = 186.74 : x
  2. Step 2: Convert to fraction form
    197.12/273.44 = 186.74/x
  3. Step 3: Cross multiply
    197.12x = 273.44 × 186.74
  4. Step 4: Simplify right side
    197.12x = 51,061.94
  5. Step 5: Solve for x
    x = 51,061.94/197.12
  6. Step 6: Final answer
    x = 259.04

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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.