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Finding the Fourth Proportional to 247.82, 340.98 and 198.05

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Solution

The fourth proportional to 247.82, 340.98 and 198.05 is: 272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.82 : 340.98 = 198.05 : x
  2. Step 2: Convert to fraction form
    247.82/340.98 = 198.05/x
  3. Step 3: Cross multiply
    247.82x = 340.98 × 198.05
  4. Step 4: Simplify right side
    247.82x = 67,531.09
  5. Step 5: Solve for x
    x = 67,531.09/247.82
  6. Step 6: Final answer
    x = 272.50

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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.