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Finding the Fourth Proportional to 198.80, 297.75 and 96.16

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Solution

The fourth proportional to 198.80, 297.75 and 96.16 is: 144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 297.75 = 96.16 : x
  2. Step 2: Convert to fraction form
    198.80/297.75 = 96.16/x
  3. Step 3: Cross multiply
    198.80x = 297.75 × 96.16
  4. Step 4: Simplify right side
    198.80x = 28,630.90
  5. Step 5: Solve for x
    x = 28,630.90/198.80
  6. Step 6: Final answer
    x = 144.02

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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.