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Finding the Fourth Proportional to 219.26, 329.09 and 206.03

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Solution

The fourth proportional to 219.26, 329.09 and 206.03 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.26 : 329.09 = 206.03 : x
  2. Step 2: Convert to fraction form
    219.26/329.09 = 206.03/x
  3. Step 3: Cross multiply
    219.26x = 329.09 × 206.03
  4. Step 4: Simplify right side
    219.26x = 67,799.74
  5. Step 5: Solve for x
    x = 67,799.74/219.26
  6. Step 6: Final answer
    x = 309.23

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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.