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Finding the Fourth Proportional to 209.40, 313.62 and 112.92

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Solution

The fourth proportional to 209.40, 313.62 and 112.92 is: 169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.40 : 313.62 = 112.92 : x
  2. Step 2: Convert to fraction form
    209.40/313.62 = 112.92/x
  3. Step 3: Cross multiply
    209.40x = 313.62 × 112.92
  4. Step 4: Simplify right side
    209.40x = 35,413.97
  5. Step 5: Solve for x
    x = 35,413.97/209.40
  6. Step 6: Final answer
    x = 169.12

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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.