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Finding the Fourth Proportional to 209.81, 290.76 and 206.87

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Solution

The fourth proportional to 209.81, 290.76 and 206.87 is: 286.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.81 : 290.76 = 206.87 : x
  2. Step 2: Convert to fraction form
    209.81/290.76 = 206.87/x
  3. Step 3: Cross multiply
    209.81x = 290.76 × 206.87
  4. Step 4: Simplify right side
    209.81x = 60,148.49
  5. Step 5: Solve for x
    x = 60,148.49/209.81
  6. Step 6: Final answer
    x = 286.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.