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Finding the Fourth Proportional to 219.36, 329.15 and 216.83

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Solution

The fourth proportional to 219.36, 329.15 and 216.83 is: 325.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.36 : 329.15 = 216.83 : x
  2. Step 2: Convert to fraction form
    219.36/329.15 = 216.83/x
  3. Step 3: Cross multiply
    219.36x = 329.15 × 216.83
  4. Step 4: Simplify right side
    219.36x = 71,369.33
  5. Step 5: Solve for x
    x = 71,369.33/219.36
  6. Step 6: Final answer
    x = 325.35

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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.