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Finding the Fourth Proportional to 329.87, 455.01 and 198.75

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Solution

The fourth proportional to 329.87, 455.01 and 198.75 is: 274.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.87 : 455.01 = 198.75 : x
  2. Step 2: Convert to fraction form
    329.87/455.01 = 198.75/x
  3. Step 3: Cross multiply
    329.87x = 455.01 × 198.75
  4. Step 4: Simplify right side
    329.87x = 90,432.24
  5. Step 5: Solve for x
    x = 90,432.24/329.87
  6. Step 6: Final answer
    x = 274.15

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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.