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Finding the Fourth Proportional to 219.78, 303.30 and 196.20

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Solution

The fourth proportional to 219.78, 303.30 and 196.20 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.78 : 303.30 = 196.20 : x
  2. Step 2: Convert to fraction form
    219.78/303.30 = 196.20/x
  3. Step 3: Cross multiply
    219.78x = 303.30 × 196.20
  4. Step 4: Simplify right side
    219.78x = 59,507.46
  5. Step 5: Solve for x
    x = 59,507.46/219.78
  6. Step 6: Final answer
    x = 270.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.