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Finding the Fourth Proportional to 161.97, 223.47 and 118.38

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Solution

The fourth proportional to 161.97, 223.47 and 118.38 is: 163.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.97 : 223.47 = 118.38 : x
  2. Step 2: Convert to fraction form
    161.97/223.47 = 118.38/x
  3. Step 3: Cross multiply
    161.97x = 223.47 × 118.38
  4. Step 4: Simplify right side
    161.97x = 26,454.38
  5. Step 5: Solve for x
    x = 26,454.38/161.97
  6. Step 6: Final answer
    x = 163.33

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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.