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Finding the Fourth Proportional to 209.68, 314.46 and 79.66

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Solution

The fourth proportional to 209.68, 314.46 and 79.66 is: 119.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.68 : 314.46 = 79.66 : x
  2. Step 2: Convert to fraction form
    209.68/314.46 = 79.66/x
  3. Step 3: Cross multiply
    209.68x = 314.46 × 79.66
  4. Step 4: Simplify right side
    209.68x = 25,049.88
  5. Step 5: Solve for x
    x = 25,049.88/209.68
  6. Step 6: Final answer
    x = 119.47

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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.