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Finding the Fourth Proportional to 329.86, 455.04 and 198.78

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Solution

The fourth proportional to 329.86, 455.04 and 198.78 is: 274.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.86 : 455.04 = 198.78 : x
  2. Step 2: Convert to fraction form
    329.86/455.04 = 198.78/x
  3. Step 3: Cross multiply
    329.86x = 455.04 × 198.78
  4. Step 4: Simplify right side
    329.86x = 90,452.85
  5. Step 5: Solve for x
    x = 90,452.85/329.86
  6. Step 6: Final answer
    x = 274.22

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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.