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Finding the Fourth Proportional to 219.33, 327.29 and 196.25

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Solution

The fourth proportional to 219.33, 327.29 and 196.25 is: 292.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.33 : 327.29 = 196.25 : x
  2. Step 2: Convert to fraction form
    219.33/327.29 = 196.25/x
  3. Step 3: Cross multiply
    219.33x = 327.29 × 196.25
  4. Step 4: Simplify right side
    219.33x = 64,230.66
  5. Step 5: Solve for x
    x = 64,230.66/219.33
  6. Step 6: Final answer
    x = 292.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.