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Finding the Fourth Proportional to 329.36, 454.29 and 198.14

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Solution

The fourth proportional to 329.36, 454.29 and 198.14 is: 273.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.36 : 454.29 = 198.14 : x
  2. Step 2: Convert to fraction form
    329.36/454.29 = 198.14/x
  3. Step 3: Cross multiply
    329.36x = 454.29 × 198.14
  4. Step 4: Simplify right side
    329.36x = 90,013.02
  5. Step 5: Solve for x
    x = 90,013.02/329.36
  6. Step 6: Final answer
    x = 273.30

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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.