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Finding the Fourth Proportional to 329.05, 454.08 and 198.06

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Solution

The fourth proportional to 329.05, 454.08 and 198.06 is: 273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.05 : 454.08 = 198.06 : x
  2. Step 2: Convert to fraction form
    329.05/454.08 = 198.06/x
  3. Step 3: Cross multiply
    329.05x = 454.08 × 198.06
  4. Step 4: Simplify right side
    329.05x = 89,935.08
  5. Step 5: Solve for x
    x = 89,935.08/329.05
  6. Step 6: Final answer
    x = 273.32

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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.