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Finding the Fourth Proportional to 247.42, 340.28 and 198.22

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Solution

The fourth proportional to 247.42, 340.28 and 198.22 is: 272.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.42 : 340.28 = 198.22 : x
  2. Step 2: Convert to fraction form
    247.42/340.28 = 198.22/x
  3. Step 3: Cross multiply
    247.42x = 340.28 × 198.22
  4. Step 4: Simplify right side
    247.42x = 67,447.61
  5. Step 5: Solve for x
    x = 67,447.61/247.42
  6. Step 6: Final answer
    x = 272.61

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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.