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Finding the Fourth Proportional to 276.21, 413.97 and 113.73

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Solution

The fourth proportional to 276.21, 413.97 and 113.73 is: 170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.21 : 413.97 = 113.73 : x
  2. Step 2: Convert to fraction form
    276.21/413.97 = 113.73/x
  3. Step 3: Cross multiply
    276.21x = 413.97 × 113.73
  4. Step 4: Simplify right side
    276.21x = 47,080.81
  5. Step 5: Solve for x
    x = 47,080.81/276.21
  6. Step 6: Final answer
    x = 170.45

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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.