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Finding the Fourth Proportional to 197.88, 273.08 and 110.55

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Solution

The fourth proportional to 197.88, 273.08 and 110.55 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.88 : 273.08 = 110.55 : x
  2. Step 2: Convert to fraction form
    197.88/273.08 = 110.55/x
  3. Step 3: Cross multiply
    197.88x = 273.08 × 110.55
  4. Step 4: Simplify right side
    197.88x = 30,188.99
  5. Step 5: Solve for x
    x = 30,188.99/197.88
  6. Step 6: Final answer
    x = 152.56

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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.