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Finding the Fourth Proportional to 180.83, 270.54 and 119.68

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Solution

The fourth proportional to 180.83, 270.54 and 119.68 is: 179.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.83 : 270.54 = 119.68 : x
  2. Step 2: Convert to fraction form
    180.83/270.54 = 119.68/x
  3. Step 3: Cross multiply
    180.83x = 270.54 × 119.68
  4. Step 4: Simplify right side
    180.83x = 32,377.55
  5. Step 5: Solve for x
    x = 32,377.55/180.83
  6. Step 6: Final answer
    x = 179.05

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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.