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Finding the Fourth Proportional to 220.92, 330.57 and 196.35

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Solution

The fourth proportional to 220.92, 330.57 and 196.35 is: 293.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.92 : 330.57 = 196.35 : x
  2. Step 2: Convert to fraction form
    220.92/330.57 = 196.35/x
  3. Step 3: Cross multiply
    220.92x = 330.57 × 196.35
  4. Step 4: Simplify right side
    220.92x = 64,907.42
  5. Step 5: Solve for x
    x = 64,907.42/220.92
  6. Step 6: Final answer
    x = 293.81

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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.