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Finding the Fourth Proportional to 220.98, 331.43 and 118.27

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Solution

The fourth proportional to 220.98, 331.43 and 118.27 is: 177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.98 : 331.43 = 118.27 : x
  2. Step 2: Convert to fraction form
    220.98/331.43 = 118.27/x
  3. Step 3: Cross multiply
    220.98x = 331.43 × 118.27
  4. Step 4: Simplify right side
    220.98x = 39,199.01
  5. Step 5: Solve for x
    x = 39,199.01/220.98
  6. Step 6: Final answer
    x = 177.39

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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.