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Finding the Fourth Proportional to 180.67, 270.64 and 108.49

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Solution

The fourth proportional to 180.67, 270.64 and 108.49 is: 162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.67 : 270.64 = 108.49 : x
  2. Step 2: Convert to fraction form
    180.67/270.64 = 108.49/x
  3. Step 3: Cross multiply
    180.67x = 270.64 × 108.49
  4. Step 4: Simplify right side
    180.67x = 29,361.73
  5. Step 5: Solve for x
    x = 29,361.73/180.67
  6. Step 6: Final answer
    x = 162.52

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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.