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Finding the Fourth Proportional to 160.22, 220.09 and 140.78

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Solution

The fourth proportional to 160.22, 220.09 and 140.78 is: 193.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.22 : 220.09 = 140.78 : x
  2. Step 2: Convert to fraction form
    160.22/220.09 = 140.78/x
  3. Step 3: Cross multiply
    160.22x = 220.09 × 140.78
  4. Step 4: Simplify right side
    160.22x = 30,984.27
  5. Step 5: Solve for x
    x = 30,984.27/160.22
  6. Step 6: Final answer
    x = 193.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.