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Finding the Fourth Proportional to 276.51, 413.69 and 184.77

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Solution

The fourth proportional to 276.51, 413.69 and 184.77 is: 276.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.51 : 413.69 = 184.77 : x
  2. Step 2: Convert to fraction form
    276.51/413.69 = 184.77/x
  3. Step 3: Cross multiply
    276.51x = 413.69 × 184.77
  4. Step 4: Simplify right side
    276.51x = 76,436.58
  5. Step 5: Solve for x
    x = 76,436.58/276.51
  6. Step 6: Final answer
    x = 276.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.