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Finding the Fourth Proportional to 219.40, 327.55 and 196.32

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Solution

The fourth proportional to 219.40, 327.55 and 196.32 is: 293.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.40 : 327.55 = 196.32 : x
  2. Step 2: Convert to fraction form
    219.40/327.55 = 196.32/x
  3. Step 3: Cross multiply
    219.40x = 327.55 × 196.32
  4. Step 4: Simplify right side
    219.40x = 64,304.62
  5. Step 5: Solve for x
    x = 64,304.62/219.40
  6. Step 6: Final answer
    x = 293.09

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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.