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Finding the Fourth Proportional to 198.06, 273.87 and 170.70

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Solution

The fourth proportional to 198.06, 273.87 and 170.70 is: 236.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.06 : 273.87 = 170.70 : x
  2. Step 2: Convert to fraction form
    198.06/273.87 = 170.70/x
  3. Step 3: Cross multiply
    198.06x = 273.87 × 170.70
  4. Step 4: Simplify right side
    198.06x = 46,749.61
  5. Step 5: Solve for x
    x = 46,749.61/198.06
  6. Step 6: Final answer
    x = 236.04

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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.