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Finding the Fourth Proportional to 180.36, 270.72 and 126.27

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Solution

The fourth proportional to 180.36, 270.72 and 126.27 is: 189.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.36 : 270.72 = 126.27 : x
  2. Step 2: Convert to fraction form
    180.36/270.72 = 126.27/x
  3. Step 3: Cross multiply
    180.36x = 270.72 × 126.27
  4. Step 4: Simplify right side
    180.36x = 34,183.81
  5. Step 5: Solve for x
    x = 34,183.81/180.36
  6. Step 6: Final answer
    x = 189.53

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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.