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Finding the Fourth Proportional to 276.24, 413.56 and 184.75

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Solution

The fourth proportional to 276.24, 413.56 and 184.75 is: 276.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.24 : 413.56 = 184.75 : x
  2. Step 2: Convert to fraction form
    276.24/413.56 = 184.75/x
  3. Step 3: Cross multiply
    276.24x = 413.56 × 184.75
  4. Step 4: Simplify right side
    276.24x = 76,405.21
  5. Step 5: Solve for x
    x = 76,405.21/276.24
  6. Step 6: Final answer
    x = 276.59

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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.