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Finding the Fourth Proportional to 221.71, 305.34 and 159.43

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Solution

The fourth proportional to 221.71, 305.34 and 159.43 is: 219.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.71 : 305.34 = 159.43 : x
  2. Step 2: Convert to fraction form
    221.71/305.34 = 159.43/x
  3. Step 3: Cross multiply
    221.71x = 305.34 × 159.43
  4. Step 4: Simplify right side
    221.71x = 48,679.56
  5. Step 5: Solve for x
    x = 48,679.56/221.71
  6. Step 6: Final answer
    x = 219.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.