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Finding the Fourth Proportional to 198.50, 273.60 and 151.79

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Solution

The fourth proportional to 198.50, 273.60 and 151.79 is: 209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.50 : 273.60 = 151.79 : x
  2. Step 2: Convert to fraction form
    198.50/273.60 = 151.79/x
  3. Step 3: Cross multiply
    198.50x = 273.60 × 151.79
  4. Step 4: Simplify right side
    198.50x = 41,528.38
  5. Step 5: Solve for x
    x = 41,528.38/198.50
  6. Step 6: Final answer
    x = 209.22

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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.