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Finding the Fourth Proportional to 276.08, 413.30 and 194.27

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Solution

The fourth proportional to 276.08, 413.30 and 194.27 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.08 : 413.30 = 194.27 : x
  2. Step 2: Convert to fraction form
    276.08/413.30 = 194.27/x
  3. Step 3: Cross multiply
    276.08x = 413.30 × 194.27
  4. Step 4: Simplify right side
    276.08x = 80,290.21
  5. Step 5: Solve for x
    x = 80,290.21/276.08
  6. Step 6: Final answer
    x = 290.83

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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.