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Finding the Fourth Proportional to 209.86, 314.88 and 112.33

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Solution

The fourth proportional to 209.86, 314.88 and 112.33 is: 168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.86 : 314.88 = 112.33 : x
  2. Step 2: Convert to fraction form
    209.86/314.88 = 112.33/x
  3. Step 3: Cross multiply
    209.86x = 314.88 × 112.33
  4. Step 4: Simplify right side
    209.86x = 35,370.44
  5. Step 5: Solve for x
    x = 35,370.44/209.86
  6. Step 6: Final answer
    x = 168.55

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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.