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Finding the Fourth Proportional to 198.65, 297.98 and 83.02

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Solution

The fourth proportional to 198.65, 297.98 and 83.02 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.65 : 297.98 = 83.02 : x
  2. Step 2: Convert to fraction form
    198.65/297.98 = 83.02/x
  3. Step 3: Cross multiply
    198.65x = 297.98 × 83.02
  4. Step 4: Simplify right side
    198.65x = 24,739.09
  5. Step 5: Solve for x
    x = 24,739.09/198.65
  6. Step 6: Final answer
    x = 124.54

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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.