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Finding the Fourth Proportional to 329.14, 454.23 and 198.22

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Solution

The fourth proportional to 329.14, 454.23 and 198.22 is: 273.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 454.23 = 198.22 : x
  2. Step 2: Convert to fraction form
    329.14/454.23 = 198.22/x
  3. Step 3: Cross multiply
    329.14x = 454.23 × 198.22
  4. Step 4: Simplify right side
    329.14x = 90,037.47
  5. Step 5: Solve for x
    x = 90,037.47/329.14
  6. Step 6: Final answer
    x = 273.55

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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.