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Finding the Fourth Proportional to 161.26, 241.80 and 122.23

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Solution

The fourth proportional to 161.26, 241.80 and 122.23 is: 183.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.26 : 241.80 = 122.23 : x
  2. Step 2: Convert to fraction form
    161.26/241.80 = 122.23/x
  3. Step 3: Cross multiply
    161.26x = 241.80 × 122.23
  4. Step 4: Simplify right side
    161.26x = 29,554.39
  5. Step 5: Solve for x
    x = 29,554.39/161.26
  6. Step 6: Final answer
    x = 183.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.