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Finding the Fourth Proportional to 160.22, 221.31 and 138.38

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Solution

The fourth proportional to 160.22, 221.31 and 138.38 is: 191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.22 : 221.31 = 138.38 : x
  2. Step 2: Convert to fraction form
    160.22/221.31 = 138.38/x
  3. Step 3: Cross multiply
    160.22x = 221.31 × 138.38
  4. Step 4: Simplify right side
    160.22x = 30,624.88
  5. Step 5: Solve for x
    x = 30,624.88/160.22
  6. Step 6: Final answer
    x = 191.14

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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.