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Finding the Fourth Proportional to 247.20, 340.92 and 198.06

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Solution

The fourth proportional to 247.20, 340.92 and 198.06 is: 273.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.20 : 340.92 = 198.06 : x
  2. Step 2: Convert to fraction form
    247.20/340.92 = 198.06/x
  3. Step 3: Cross multiply
    247.20x = 340.92 × 198.06
  4. Step 4: Simplify right side
    247.20x = 67,522.62
  5. Step 5: Solve for x
    x = 67,522.62/247.20
  6. Step 6: Final answer
    x = 273.15

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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.