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Finding the Fourth Proportional to 180.14, 249.86 and 172.85

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Solution

The fourth proportional to 180.14, 249.86 and 172.85 is: 239.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.14 : 249.86 = 172.85 : x
  2. Step 2: Convert to fraction form
    180.14/249.86 = 172.85/x
  3. Step 3: Cross multiply
    180.14x = 249.86 × 172.85
  4. Step 4: Simplify right side
    180.14x = 43,188.30
  5. Step 5: Solve for x
    x = 43,188.30/180.14
  6. Step 6: Final answer
    x = 239.75

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.