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Finding the Fourth Proportional to 180.75, 270.77 and 153.71

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Solution

The fourth proportional to 180.75, 270.77 and 153.71 is: 230.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.75 : 270.77 = 153.71 : x
  2. Step 2: Convert to fraction form
    180.75/270.77 = 153.71/x
  3. Step 3: Cross multiply
    180.75x = 270.77 × 153.71
  4. Step 4: Simplify right side
    180.75x = 41,619.97
  5. Step 5: Solve for x
    x = 41,619.97/180.75
  6. Step 6: Final answer
    x = 230.26

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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.