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Finding the Fourth Proportional to 329.53, 454.88 and 198.50

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Solution

The fourth proportional to 329.53, 454.88 and 198.50 is: 274.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.53 : 454.88 = 198.50 : x
  2. Step 2: Convert to fraction form
    329.53/454.88 = 198.50/x
  3. Step 3: Cross multiply
    329.53x = 454.88 × 198.50
  4. Step 4: Simplify right side
    329.53x = 90,292.69
  5. Step 5: Solve for x
    x = 90,292.69/329.53
  6. Step 6: Final answer
    x = 274.01

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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.