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Finding the Fourth Proportional to 329.81, 455.09 and 198.77

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Solution

The fourth proportional to 329.81, 455.09 and 198.77 is: 274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.81 : 455.09 = 198.77 : x
  2. Step 2: Convert to fraction form
    329.81/455.09 = 198.77/x
  3. Step 3: Cross multiply
    329.81x = 455.09 × 198.77
  4. Step 4: Simplify right side
    329.81x = 90,454.97
  5. Step 5: Solve for x
    x = 90,454.97/329.81
  6. Step 6: Final answer
    x = 274.27

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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.