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Finding the Fourth Proportional to 197.85, 273.05 and 110.52

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Solution

The fourth proportional to 197.85, 273.05 and 110.52 is: 152.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.85 : 273.05 = 110.52 : x
  2. Step 2: Convert to fraction form
    197.85/273.05 = 110.52/x
  3. Step 3: Cross multiply
    197.85x = 273.05 × 110.52
  4. Step 4: Simplify right side
    197.85x = 30,176.93
  5. Step 5: Solve for x
    x = 30,176.93/197.85
  6. Step 6: Final answer
    x = 152.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.