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Finding the Fourth Proportional to 180.26, 270.38 and 107.64

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Solution

The fourth proportional to 180.26, 270.38 and 107.64 is: 161.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.26 : 270.38 = 107.64 : x
  2. Step 2: Convert to fraction form
    180.26/270.38 = 107.64/x
  3. Step 3: Cross multiply
    180.26x = 270.38 × 107.64
  4. Step 4: Simplify right side
    180.26x = 29,103.97
  5. Step 5: Solve for x
    x = 29,103.97/180.26
  6. Step 6: Final answer
    x = 161.46

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Why These Related Problems?

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