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Finding the Fourth Proportional to 276.13, 413.90 and 111.56

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Solution

The fourth proportional to 276.13, 413.90 and 111.56 is: 167.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 413.90 = 111.56 : x
  2. Step 2: Convert to fraction form
    276.13/413.90 = 111.56/x
  3. Step 3: Cross multiply
    276.13x = 413.90 × 111.56
  4. Step 4: Simplify right side
    276.13x = 46,172.06
  5. Step 5: Solve for x
    x = 46,172.06/276.13
  6. Step 6: Final answer
    x = 167.21

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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.