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Finding the Fourth Proportional to 276.54, 414.57 and 184.97

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Solution

The fourth proportional to 276.54, 414.57 and 184.97 is: 277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.54 : 414.57 = 184.97 : x
  2. Step 2: Convert to fraction form
    276.54/414.57 = 184.97/x
  3. Step 3: Cross multiply
    276.54x = 414.57 × 184.97
  4. Step 4: Simplify right side
    276.54x = 76,680.94
  5. Step 5: Solve for x
    x = 76,680.94/276.54
  6. Step 6: Final answer
    x = 277.29

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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.