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Finding the Fourth Proportional to 180.23, 270.06 and 111.63

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Solution

The fourth proportional to 180.23, 270.06 and 111.63 is: 167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 270.06 = 111.63 : x
  2. Step 2: Convert to fraction form
    180.23/270.06 = 111.63/x
  3. Step 3: Cross multiply
    180.23x = 270.06 × 111.63
  4. Step 4: Simplify right side
    180.23x = 30,146.80
  5. Step 5: Solve for x
    x = 30,146.80/180.23
  6. Step 6: Final answer
    x = 167.27

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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.