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Finding the Fourth Proportional to 197.10, 273.44 and 180.90

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Solution

The fourth proportional to 197.10, 273.44 and 180.90 is: 250.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.10 : 273.44 = 180.90 : x
  2. Step 2: Convert to fraction form
    197.10/273.44 = 180.90/x
  3. Step 3: Cross multiply
    197.10x = 273.44 × 180.90
  4. Step 4: Simplify right side
    197.10x = 49,465.75
  5. Step 5: Solve for x
    x = 49,465.75/197.10
  6. Step 6: Final answer
    x = 250.97

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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.