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Finding the Fourth Proportional to 299.10, 412.52 and 200.69

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Solution

The fourth proportional to 299.10, 412.52 and 200.69 is: 276.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.10 : 412.52 = 200.69 : x
  2. Step 2: Convert to fraction form
    299.10/412.52 = 200.69/x
  3. Step 3: Cross multiply
    299.10x = 412.52 × 200.69
  4. Step 4: Simplify right side
    299.10x = 82,785.57
  5. Step 5: Solve for x
    x = 82,785.57/299.10
  6. Step 6: Final answer
    x = 276.78

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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.