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Finding the Fourth Proportional to 180.23, 270.21 and 77.43

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Solution

The fourth proportional to 180.23, 270.21 and 77.43 is: 116.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.23 : 270.21 = 77.43 : x
  2. Step 2: Convert to fraction form
    180.23/270.21 = 77.43/x
  3. Step 3: Cross multiply
    180.23x = 270.21 × 77.43
  4. Step 4: Simplify right side
    180.23x = 20,922.36
  5. Step 5: Solve for x
    x = 20,922.36/180.23
  6. Step 6: Final answer
    x = 116.09

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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.