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Finding the Fourth Proportional to 220.44, 331.96 and 160

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Solution

The fourth proportional to 220.44, 331.96 and 160 is: 240.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.44 : 331.96 = 160 : x
  2. Step 2: Convert to fraction form
    220.44/331.96 = 160/x
  3. Step 3: Cross multiply
    220.44x = 331.96 × 160
  4. Step 4: Simplify right side
    220.44x = 53,113.60
  5. Step 5: Solve for x
    x = 53,113.60/220.44
  6. Step 6: Final answer
    x = 240.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.