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Finding the Fourth Proportional to 299.96, 414.13 and 206.67

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Solution

The fourth proportional to 299.96, 414.13 and 206.67 is: 285.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 414.13 = 206.67 : x
  2. Step 2: Convert to fraction form
    299.96/414.13 = 206.67/x
  3. Step 3: Cross multiply
    299.96x = 414.13 × 206.67
  4. Step 4: Simplify right side
    299.96x = 85,587.73
  5. Step 5: Solve for x
    x = 85,587.73/299.96
  6. Step 6: Final answer
    x = 285.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.