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Finding the Fourth Proportional to 197.22, 295.83 and 120.12

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Solution

The fourth proportional to 197.22, 295.83 and 120.12 is: 180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.22 : 295.83 = 120.12 : x
  2. Step 2: Convert to fraction form
    197.22/295.83 = 120.12/x
  3. Step 3: Cross multiply
    197.22x = 295.83 × 120.12
  4. Step 4: Simplify right side
    197.22x = 35,534.54
  5. Step 5: Solve for x
    x = 35,534.54/197.22
  6. Step 6: Final answer
    x = 180.18

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