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Finding the Fourth Proportional to 180.06, 269.81 and 119.15

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Solution

The fourth proportional to 180.06, 269.81 and 119.15 is: 178.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.06 : 269.81 = 119.15 : x
  2. Step 2: Convert to fraction form
    180.06/269.81 = 119.15/x
  3. Step 3: Cross multiply
    180.06x = 269.81 × 119.15
  4. Step 4: Simplify right side
    180.06x = 32,145.92
  5. Step 5: Solve for x
    x = 32,145.92/180.06
  6. Step 6: Final answer
    x = 178.53

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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.