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Finding the Fourth Proportional to 299.96, 414.16 and 206.70

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Solution

The fourth proportional to 299.96, 414.16 and 206.70 is: 285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.96 : 414.16 = 206.70 : x
  2. Step 2: Convert to fraction form
    299.96/414.16 = 206.70/x
  3. Step 3: Cross multiply
    299.96x = 414.16 × 206.70
  4. Step 4: Simplify right side
    299.96x = 85,606.87
  5. Step 5: Solve for x
    x = 85,606.87/299.96
  6. Step 6: Final answer
    x = 285.39

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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.