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Finding the Fourth Proportional to 220.46, 330.29 and 196.63

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Solution

The fourth proportional to 220.46, 330.29 and 196.63 is: 294.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.46 : 330.29 = 196.63 : x
  2. Step 2: Convert to fraction form
    220.46/330.29 = 196.63/x
  3. Step 3: Cross multiply
    220.46x = 330.29 × 196.63
  4. Step 4: Simplify right side
    220.46x = 64,943.27
  5. Step 5: Solve for x
    x = 64,943.27/220.46
  6. Step 6: Final answer
    x = 294.59

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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.