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Finding the Fourth Proportional to 276.21, 413.91 and 132.03

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Solution

The fourth proportional to 276.21, 413.91 and 132.03 is: 197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 413.91 = 132.03 : x
  2. Step 2: Convert to fraction form
    276.21/413.91 = 132.03/x
  3. Step 3: Cross multiply
    276.21x = 413.91 × 132.03
  4. Step 4: Simplify right side
    276.21x = 54,648.54
  5. Step 5: Solve for x
    x = 54,648.54/276.21
  6. Step 6: Final answer
    x = 197.85

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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.