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Finding the Fourth Proportional to 276.38, 414.34 and 189.49

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Solution

The fourth proportional to 276.38, 414.34 and 189.49 is: 284.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.38 : 414.34 = 189.49 : x
  2. Step 2: Convert to fraction form
    276.38/414.34 = 189.49/x
  3. Step 3: Cross multiply
    276.38x = 414.34 × 189.49
  4. Step 4: Simplify right side
    276.38x = 78,513.29
  5. Step 5: Solve for x
    x = 78,513.29/276.38
  6. Step 6: Final answer
    x = 284.08

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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.