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Finding the Fourth Proportional to 209.96, 314.75 and 107.19

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Solution

The fourth proportional to 209.96, 314.75 and 107.19 is: 160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.96 : 314.75 = 107.19 : x
  2. Step 2: Convert to fraction form
    209.96/314.75 = 107.19/x
  3. Step 3: Cross multiply
    209.96x = 314.75 × 107.19
  4. Step 4: Simplify right side
    209.96x = 33,738.32
  5. Step 5: Solve for x
    x = 33,738.32/209.96
  6. Step 6: Final answer
    x = 160.69

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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.