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Finding the Fourth Proportional to 216.19, 324.17 and 107.85

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Solution

The fourth proportional to 216.19, 324.17 and 107.85 is: 161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.19 : 324.17 = 107.85 : x
  2. Step 2: Convert to fraction form
    216.19/324.17 = 107.85/x
  3. Step 3: Cross multiply
    216.19x = 324.17 × 107.85
  4. Step 4: Simplify right side
    216.19x = 34,961.73
  5. Step 5: Solve for x
    x = 34,961.73/216.19
  6. Step 6: Final answer
    x = 161.72

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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.