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Finding the Fourth Proportional to 198.94, 298.61 and 144.94

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Solution

The fourth proportional to 198.94, 298.61 and 144.94 is: 217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 298.61 = 144.94 : x
  2. Step 2: Convert to fraction form
    198.94/298.61 = 144.94/x
  3. Step 3: Cross multiply
    198.94x = 298.61 × 144.94
  4. Step 4: Simplify right side
    198.94x = 43,280.53
  5. Step 5: Solve for x
    x = 43,280.53/198.94
  6. Step 6: Final answer
    x = 217.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.