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Finding the Fourth Proportional to 221.72, 331.27 and 173.66

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Solution

The fourth proportional to 221.72, 331.27 and 173.66 is: 259.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 331.27 = 173.66 : x
  2. Step 2: Convert to fraction form
    221.72/331.27 = 173.66/x
  3. Step 3: Cross multiply
    221.72x = 331.27 × 173.66
  4. Step 4: Simplify right side
    221.72x = 57,528.35
  5. Step 5: Solve for x
    x = 57,528.35/221.72
  6. Step 6: Final answer
    x = 259.46

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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.