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Finding the Fourth Proportional to 180.27, 269.97 and 149.23

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Solution

The fourth proportional to 180.27, 269.97 and 149.23 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.27 : 269.97 = 149.23 : x
  2. Step 2: Convert to fraction form
    180.27/269.97 = 149.23/x
  3. Step 3: Cross multiply
    180.27x = 269.97 × 149.23
  4. Step 4: Simplify right side
    180.27x = 40,287.40
  5. Step 5: Solve for x
    x = 40,287.40/180.27
  6. Step 6: Final answer
    x = 223.48

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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.