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Finding the Fourth Proportional to 299.79, 449.98 and 213.22

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Solution

The fourth proportional to 299.79, 449.98 and 213.22 is: 320.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.79 : 449.98 = 213.22 : x
  2. Step 2: Convert to fraction form
    299.79/449.98 = 213.22/x
  3. Step 3: Cross multiply
    299.79x = 449.98 × 213.22
  4. Step 4: Simplify right side
    299.79x = 95,942.49
  5. Step 5: Solve for x
    x = 95,942.49/299.79
  6. Step 6: Final answer
    x = 320.04

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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.