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Finding the Fourth Proportional to 198.52, 297.95 and 83.03

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Solution

The fourth proportional to 198.52, 297.95 and 83.03 is: 124.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.52 : 297.95 = 83.03 : x
  2. Step 2: Convert to fraction form
    198.52/297.95 = 83.03/x
  3. Step 3: Cross multiply
    198.52x = 297.95 × 83.03
  4. Step 4: Simplify right side
    198.52x = 24,736.88
  5. Step 5: Solve for x
    x = 24,736.88/198.52
  6. Step 6: Final answer
    x = 124.61

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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.