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Finding the Fourth Proportional to 180.58, 249.42 and 163.09

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Solution

The fourth proportional to 180.58, 249.42 and 163.09 is: 225.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.58 : 249.42 = 163.09 : x
  2. Step 2: Convert to fraction form
    180.58/249.42 = 163.09/x
  3. Step 3: Cross multiply
    180.58x = 249.42 × 163.09
  4. Step 4: Simplify right side
    180.58x = 40,677.67
  5. Step 5: Solve for x
    x = 40,677.67/180.58
  6. Step 6: Final answer
    x = 225.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.