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Finding the Fourth Proportional to 300.22, 413.79 and 226.51

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Solution

The fourth proportional to 300.22, 413.79 and 226.51 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.22 : 413.79 = 226.51 : x
  2. Step 2: Convert to fraction form
    300.22/413.79 = 226.51/x
  3. Step 3: Cross multiply
    300.22x = 413.79 × 226.51
  4. Step 4: Simplify right side
    300.22x = 93,727.57
  5. Step 5: Solve for x
    x = 93,727.57/300.22
  6. Step 6: Final answer
    x = 312.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.