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Finding the Fourth Proportional to 276.08, 413.76 and 184.64

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Solution

The fourth proportional to 276.08, 413.76 and 184.64 is: 276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.08 : 413.76 = 184.64 : x
  2. Step 2: Convert to fraction form
    276.08/413.76 = 184.64/x
  3. Step 3: Cross multiply
    276.08x = 413.76 × 184.64
  4. Step 4: Simplify right side
    276.08x = 76,396.65
  5. Step 5: Solve for x
    x = 76,396.65/276.08
  6. Step 6: Final answer
    x = 276.72

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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.