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Finding the Fourth Proportional to 300.22, 413.90 and 206.93

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Solution

The fourth proportional to 300.22, 413.90 and 206.93 is: 285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.22 : 413.90 = 206.93 : x
  2. Step 2: Convert to fraction form
    300.22/413.90 = 206.93/x
  3. Step 3: Cross multiply
    300.22x = 413.90 × 206.93
  4. Step 4: Simplify right side
    300.22x = 85,648.33
  5. Step 5: Solve for x
    x = 85,648.33/300.22
  6. Step 6: Final answer
    x = 285.29

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Why These Related Problems?

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