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Finding the Fourth Proportional to 220.42, 330.65 and 194.97

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Solution

The fourth proportional to 220.42, 330.65 and 194.97 is: 292.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.42 : 330.65 = 194.97 : x
  2. Step 2: Convert to fraction form
    220.42/330.65 = 194.97/x
  3. Step 3: Cross multiply
    220.42x = 330.65 × 194.97
  4. Step 4: Simplify right side
    220.42x = 64,467.83
  5. Step 5: Solve for x
    x = 64,467.83/220.42
  6. Step 6: Final answer
    x = 292.48

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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.