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Finding the Fourth Proportional to 180.65, 270.86 and 76.44

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Solution

The fourth proportional to 180.65, 270.86 and 76.44 is: 114.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.65 : 270.86 = 76.44 : x
  2. Step 2: Convert to fraction form
    180.65/270.86 = 76.44/x
  3. Step 3: Cross multiply
    180.65x = 270.86 × 76.44
  4. Step 4: Simplify right side
    180.65x = 20,704.16
  5. Step 5: Solve for x
    x = 20,704.16/180.65
  6. Step 6: Final answer
    x = 114.61

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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.