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Finding the Fourth Proportional to 219.75, 329.33 and 96.20

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Solution

The fourth proportional to 219.75, 329.33 and 96.20 is: 144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.75 : 329.33 = 96.20 : x
  2. Step 2: Convert to fraction form
    219.75/329.33 = 96.20/x
  3. Step 3: Cross multiply
    219.75x = 329.33 × 96.20
  4. Step 4: Simplify right side
    219.75x = 31,683.23
  5. Step 5: Solve for x
    x = 31,683.23/219.75
  6. Step 6: Final answer
    x = 144.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.