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Finding the Fourth Proportional to 300.16, 413.83 and 195.06

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Solution

The fourth proportional to 300.16, 413.83 and 195.06 is: 268.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.16 : 413.83 = 195.06 : x
  2. Step 2: Convert to fraction form
    300.16/413.83 = 195.06/x
  3. Step 3: Cross multiply
    300.16x = 413.83 × 195.06
  4. Step 4: Simplify right side
    300.16x = 80,721.19
  5. Step 5: Solve for x
    x = 80,721.19/300.16
  6. Step 6: Final answer
    x = 268.93

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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.