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Finding the Fourth Proportional to 329.07, 454.15 and 198.12

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Solution

The fourth proportional to 329.07, 454.15 and 198.12 is: 273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.07 : 454.15 = 198.12 : x
  2. Step 2: Convert to fraction form
    329.07/454.15 = 198.12/x
  3. Step 3: Cross multiply
    329.07x = 454.15 × 198.12
  4. Step 4: Simplify right side
    329.07x = 89,973.93
  5. Step 5: Solve for x
    x = 89,973.93/329.07
  6. Step 6: Final answer
    x = 273.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.