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Finding the Fourth Proportional to 209.74, 314.55 and 79.81

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Solution

The fourth proportional to 209.74, 314.55 and 79.81 is: 119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.74 : 314.55 = 79.81 : x
  2. Step 2: Convert to fraction form
    209.74/314.55 = 79.81/x
  3. Step 3: Cross multiply
    209.74x = 314.55 × 79.81
  4. Step 4: Simplify right side
    209.74x = 25,104.24
  5. Step 5: Solve for x
    x = 25,104.24/209.74
  6. Step 6: Final answer
    x = 119.69

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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.