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Finding the Fourth Proportional to 276.15, 413.82 and 184.53

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Solution

The fourth proportional to 276.15, 413.82 and 184.53 is: 276.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.15 : 413.82 = 184.53 : x
  2. Step 2: Convert to fraction form
    276.15/413.82 = 184.53/x
  3. Step 3: Cross multiply
    276.15x = 413.82 × 184.53
  4. Step 4: Simplify right side
    276.15x = 76,362.20
  5. Step 5: Solve for x
    x = 76,362.20/276.15
  6. Step 6: Final answer
    x = 276.52

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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.