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Finding the Fourth Proportional to 276.88, 414.25 and 200.02

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Solution

The fourth proportional to 276.88, 414.25 and 200.02 is: 299.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.88 : 414.25 = 200.02 : x
  2. Step 2: Convert to fraction form
    276.88/414.25 = 200.02/x
  3. Step 3: Cross multiply
    276.88x = 414.25 × 200.02
  4. Step 4: Simplify right side
    276.88x = 82,858.29
  5. Step 5: Solve for x
    x = 82,858.29/276.88
  6. Step 6: Final answer
    x = 299.26

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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.