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Finding the Fourth Proportional to 221.72, 330.94 and 195.77

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Solution

The fourth proportional to 221.72, 330.94 and 195.77 is: 292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 330.94 = 195.77 : x
  2. Step 2: Convert to fraction form
    221.72/330.94 = 195.77/x
  3. Step 3: Cross multiply
    221.72x = 330.94 × 195.77
  4. Step 4: Simplify right side
    221.72x = 64,786.47
  5. Step 5: Solve for x
    x = 64,786.47/221.72
  6. Step 6: Final answer
    x = 292.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.