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Finding the Fourth Proportional to 180.35, 270.17 and 116.09

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Solution

The fourth proportional to 180.35, 270.17 and 116.09 is: 173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.35 : 270.17 = 116.09 : x
  2. Step 2: Convert to fraction form
    180.35/270.17 = 116.09/x
  3. Step 3: Cross multiply
    180.35x = 270.17 × 116.09
  4. Step 4: Simplify right side
    180.35x = 31,363.45
  5. Step 5: Solve for x
    x = 31,363.45/180.35
  6. Step 6: Final answer
    x = 173.90

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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.