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Finding the Fourth Proportional to 329.14, 454.15 and 198.16

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Solution

The fourth proportional to 329.14, 454.15 and 198.16 is: 273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.14 : 454.15 = 198.16 : x
  2. Step 2: Convert to fraction form
    329.14/454.15 = 198.16/x
  3. Step 3: Cross multiply
    329.14x = 454.15 × 198.16
  4. Step 4: Simplify right side
    329.14x = 89,991.60
  5. Step 5: Solve for x
    x = 89,991.60/329.14
  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.