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Finding the Fourth Proportional to 329.71, 454.74 and 198.70

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Solution

The fourth proportional to 329.71, 454.74 and 198.70 is: 274.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.71 : 454.74 = 198.70 : x
  2. Step 2: Convert to fraction form
    329.71/454.74 = 198.70/x
  3. Step 3: Cross multiply
    329.71x = 454.74 × 198.70
  4. Step 4: Simplify right side
    329.71x = 90,356.84
  5. Step 5: Solve for x
    x = 90,356.84/329.71
  6. Step 6: Final answer
    x = 274.05

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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.