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Finding the Fourth Proportional to 276.11, 413.70 and 184.83

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Solution

The fourth proportional to 276.11, 413.70 and 184.83 is: 276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.11 : 413.70 = 184.83 : x
  2. Step 2: Convert to fraction form
    276.11/413.70 = 184.83/x
  3. Step 3: Cross multiply
    276.11x = 413.70 × 184.83
  4. Step 4: Simplify right side
    276.11x = 76,464.17
  5. Step 5: Solve for x
    x = 76,464.17/276.11
  6. Step 6: Final answer
    x = 276.93

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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.