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Finding the Fourth Proportional to 180.68, 270.41 and 119.79

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Solution

The fourth proportional to 180.68, 270.41 and 119.79 is: 179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.68 : 270.41 = 119.79 : x
  2. Step 2: Convert to fraction form
    180.68/270.41 = 119.79/x
  3. Step 3: Cross multiply
    180.68x = 270.41 × 119.79
  4. Step 4: Simplify right side
    180.68x = 32,391.81
  5. Step 5: Solve for x
    x = 32,391.81/180.68
  6. Step 6: Final answer
    x = 179.28

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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.