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Finding the Fourth Proportional to 299.84, 449.26 and 212.74

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Solution

The fourth proportional to 299.84, 449.26 and 212.74 is: 318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 449.26 = 212.74 : x
  2. Step 2: Convert to fraction form
    299.84/449.26 = 212.74/x
  3. Step 3: Cross multiply
    299.84x = 449.26 × 212.74
  4. Step 4: Simplify right side
    299.84x = 95,575.57
  5. Step 5: Solve for x
    x = 95,575.57/299.84
  6. Step 6: Final answer
    x = 318.76

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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.