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Finding the Fourth Proportional to 300.76, 451.22 and 198.24

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Solution

The fourth proportional to 300.76, 451.22 and 198.24 is: 297.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.76 : 451.22 = 198.24 : x
  2. Step 2: Convert to fraction form
    300.76/451.22 = 198.24/x
  3. Step 3: Cross multiply
    300.76x = 451.22 × 198.24
  4. Step 4: Simplify right side
    300.76x = 89,449.85
  5. Step 5: Solve for x
    x = 89,449.85/300.76
  6. Step 6: Final answer
    x = 297.41

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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.