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Finding the Fourth Proportional to 329.14, 454.22 and 198.12

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Solution

The fourth proportional to 329.14, 454.22 and 198.12 is: 273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 454.22 = 198.12 : x
  2. Step 2: Convert to fraction form
    329.14/454.22 = 198.12/x
  3. Step 3: Cross multiply
    329.14x = 454.22 × 198.12
  4. Step 4: Simplify right side
    329.14x = 89,990.07
  5. Step 5: Solve for x
    x = 89,990.07/329.14
  6. Step 6: Final answer
    x = 273.41

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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.