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Finding the Fourth Proportional to 276.25, 413.87 and 154.14

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Solution

The fourth proportional to 276.25, 413.87 and 154.14 is: 230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.25 : 413.87 = 154.14 : x
  2. Step 2: Convert to fraction form
    276.25/413.87 = 154.14/x
  3. Step 3: Cross multiply
    276.25x = 413.87 × 154.14
  4. Step 4: Simplify right side
    276.25x = 63,793.15
  5. Step 5: Solve for x
    x = 63,793.15/276.25
  6. Step 6: Final answer
    x = 230.93

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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.