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Finding the Fourth Proportional to 198.24, 297.30 and 76.50

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Solution

The fourth proportional to 198.24, 297.30 and 76.50 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.24 : 297.30 = 76.50 : x
  2. Step 2: Convert to fraction form
    198.24/297.30 = 76.50/x
  3. Step 3: Cross multiply
    198.24x = 297.30 × 76.50
  4. Step 4: Simplify right side
    198.24x = 22,743.45
  5. Step 5: Solve for x
    x = 22,743.45/198.24
  6. Step 6: Final answer
    x = 114.73

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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.