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Finding the Fourth Proportional to 198.75, 298.26 and 96.12

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Solution

The fourth proportional to 198.75, 298.26 and 96.12 is: 144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 298.26 = 96.12 : x
  2. Step 2: Convert to fraction form
    198.75/298.26 = 96.12/x
  3. Step 3: Cross multiply
    198.75x = 298.26 × 96.12
  4. Step 4: Simplify right side
    198.75x = 28,668.75
  5. Step 5: Solve for x
    x = 28,668.75/198.75
  6. Step 6: Final answer
    x = 144.25

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