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Finding the Fourth Proportional to 198.21, 297.07 and 82.50

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Solution

The fourth proportional to 198.21, 297.07 and 82.50 is: 123.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.21 : 297.07 = 82.50 : x
  2. Step 2: Convert to fraction form
    198.21/297.07 = 82.50/x
  3. Step 3: Cross multiply
    198.21x = 297.07 × 82.50
  4. Step 4: Simplify right side
    198.21x = 24,508.63
  5. Step 5: Solve for x
    x = 24,508.63/198.21
  6. Step 6: Final answer
    x = 123.65

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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.