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Finding the Fourth Proportional to 276.75, 414.73 and 146.50

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Solution

The fourth proportional to 276.75, 414.73 and 146.50 is: 219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.75 : 414.73 = 146.50 : x
  2. Step 2: Convert to fraction form
    276.75/414.73 = 146.50/x
  3. Step 3: Cross multiply
    276.75x = 414.73 × 146.50
  4. Step 4: Simplify right side
    276.75x = 60,757.95
  5. Step 5: Solve for x
    x = 60,757.95/276.75
  6. Step 6: Final answer
    x = 219.54

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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.