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Finding the Fourth Proportional to 180.90, 270.89 and 119.85

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Solution

The fourth proportional to 180.90, 270.89 and 119.85 is: 179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.90 : 270.89 = 119.85 : x
  2. Step 2: Convert to fraction form
    180.90/270.89 = 119.85/x
  3. Step 3: Cross multiply
    180.90x = 270.89 × 119.85
  4. Step 4: Simplify right side
    180.90x = 32,466.17
  5. Step 5: Solve for x
    x = 32,466.17/180.90
  6. Step 6: Final answer
    x = 179.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.