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Finding the Fourth Proportional to 197.20, 295.86 and 120.22

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Solution

The fourth proportional to 197.20, 295.86 and 120.22 is: 180.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.20 : 295.86 = 120.22 : x
  2. Step 2: Convert to fraction form
    197.20/295.86 = 120.22/x
  3. Step 3: Cross multiply
    197.20x = 295.86 × 120.22
  4. Step 4: Simplify right side
    197.20x = 35,568.29
  5. Step 5: Solve for x
    x = 35,568.29/197.20
  6. Step 6: Final answer
    x = 180.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.