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Finding the Fourth Proportional to 276.21, 413.97 and 122.04

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Solution

The fourth proportional to 276.21, 413.97 and 122.04 is: 182.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 413.97 = 122.04 : x
  2. Step 2: Convert to fraction form
    276.21/413.97 = 122.04/x
  3. Step 3: Cross multiply
    276.21x = 413.97 × 122.04
  4. Step 4: Simplify right side
    276.21x = 50,520.90
  5. Step 5: Solve for x
    x = 50,520.90/276.21
  6. Step 6: Final answer
    x = 182.91

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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.