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Finding the Fourth Proportional to 221.72, 305.97 and 123.47

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Solution

The fourth proportional to 221.72, 305.97 and 123.47 is: 170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    221.72 : 305.97 = 123.47 : x
  2. Step 2: Convert to fraction form
    221.72/305.97 = 123.47/x
  3. Step 3: Cross multiply
    221.72x = 305.97 × 123.47
  4. Step 4: Simplify right side
    221.72x = 37,778.88
  5. Step 5: Solve for x
    x = 37,778.88/221.72
  6. Step 6: Final answer
    x = 170.39

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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.