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Finding the Fourth Proportional to 309.30, 426.66 and 198.60

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Solution

The fourth proportional to 309.30, 426.66 and 198.60 is: 273.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.30 : 426.66 = 198.60 : x
  2. Step 2: Convert to fraction form
    309.30/426.66 = 198.60/x
  3. Step 3: Cross multiply
    309.30x = 426.66 × 198.60
  4. Step 4: Simplify right side
    309.30x = 84,734.68
  5. Step 5: Solve for x
    x = 84,734.68/309.30
  6. Step 6: Final answer
    x = 273.96

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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.