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Finding the Fourth Proportional to 180.70, 270.74 and 116.44

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Solution

The fourth proportional to 180.70, 270.74 and 116.44 is: 174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.70 : 270.74 = 116.44 : x
  2. Step 2: Convert to fraction form
    180.70/270.74 = 116.44/x
  3. Step 3: Cross multiply
    180.70x = 270.74 × 116.44
  4. Step 4: Simplify right side
    180.70x = 31,524.58
  5. Step 5: Solve for x
    x = 31,524.58/180.70
  6. Step 6: Final answer
    x = 174.46

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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.