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Finding the Fourth Proportional to 198.56, 273.96 and 120.80

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Solution

The fourth proportional to 198.56, 273.96 and 120.80 is: 166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.56 : 273.96 = 120.80 : x
  2. Step 2: Convert to fraction form
    198.56/273.96 = 120.80/x
  3. Step 3: Cross multiply
    198.56x = 273.96 × 120.80
  4. Step 4: Simplify right side
    198.56x = 33,094.37
  5. Step 5: Solve for x
    x = 33,094.37/198.56
  6. Step 6: Final answer
    x = 166.67

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Why These Related Problems?

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