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Finding the Fourth Proportional to 204.50, 305.07 and 198.92

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Solution

The fourth proportional to 204.50, 305.07 and 198.92 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.50 : 305.07 = 198.92 : x
  2. Step 2: Convert to fraction form
    204.50/305.07 = 198.92/x
  3. Step 3: Cross multiply
    204.50x = 305.07 × 198.92
  4. Step 4: Simplify right side
    204.50x = 60,683.00
  5. Step 5: Solve for x
    x = 60,683.00/204.50
  6. Step 6: Final answer
    x = 296.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.