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Finding the Fourth Proportional to 276.06, 413.38 and 184.46

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Solution

The fourth proportional to 276.06, 413.38 and 184.46 is: 276.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.06 : 413.38 = 184.46 : x
  2. Step 2: Convert to fraction form
    276.06/413.38 = 184.46/x
  3. Step 3: Cross multiply
    276.06x = 413.38 × 184.46
  4. Step 4: Simplify right side
    276.06x = 76,251.15
  5. Step 5: Solve for x
    x = 76,251.15/276.06
  6. Step 6: Final answer
    x = 276.21

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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.