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Finding the Fourth Proportional to 220.16, 329.76 and 196.96

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Solution

The fourth proportional to 220.16, 329.76 and 196.96 is: 295.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.16 : 329.76 = 196.96 : x
  2. Step 2: Convert to fraction form
    220.16/329.76 = 196.96/x
  3. Step 3: Cross multiply
    220.16x = 329.76 × 196.96
  4. Step 4: Simplify right side
    220.16x = 64,949.53
  5. Step 5: Solve for x
    x = 64,949.53/220.16
  6. Step 6: Final answer
    x = 295.01

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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.