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Finding the Fourth Proportional to 219.73, 329.69 and 104.11

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Solution

The fourth proportional to 219.73, 329.69 and 104.11 is: 156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.73 : 329.69 = 104.11 : x
  2. Step 2: Convert to fraction form
    219.73/329.69 = 104.11/x
  3. Step 3: Cross multiply
    219.73x = 329.69 × 104.11
  4. Step 4: Simplify right side
    219.73x = 34,324.03
  5. Step 5: Solve for x
    x = 34,324.03/219.73
  6. Step 6: Final answer
    x = 156.21

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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.