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Finding the Fourth Proportional to 299.77, 450.27 and 197.20

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Solution

The fourth proportional to 299.77, 450.27 and 197.20 is: 296.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.77 : 450.27 = 197.20 : x
  2. Step 2: Convert to fraction form
    299.77/450.27 = 197.20/x
  3. Step 3: Cross multiply
    299.77x = 450.27 × 197.20
  4. Step 4: Simplify right side
    299.77x = 88,793.24
  5. Step 5: Solve for x
    x = 88,793.24/299.77
  6. Step 6: Final answer
    x = 296.20

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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.