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Finding the Fourth Proportional to 300.21, 413.70 and 212.73

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Solution

The fourth proportional to 300.21, 413.70 and 212.73 is: 293.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.21 : 413.70 = 212.73 : x
  2. Step 2: Convert to fraction form
    300.21/413.70 = 212.73/x
  3. Step 3: Cross multiply
    300.21x = 413.70 × 212.73
  4. Step 4: Simplify right side
    300.21x = 88,006.40
  5. Step 5: Solve for x
    x = 88,006.40/300.21
  6. Step 6: Final answer
    x = 293.15

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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.