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Finding the Fourth Proportional to 180.27, 270.20 and 160.02

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Solution

The fourth proportional to 180.27, 270.20 and 160.02 is: 239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.27 : 270.20 = 160.02 : x
  2. Step 2: Convert to fraction form
    180.27/270.20 = 160.02/x
  3. Step 3: Cross multiply
    180.27x = 270.20 × 160.02
  4. Step 4: Simplify right side
    180.27x = 43,236.60
  5. Step 5: Solve for x
    x = 43,236.60/180.27
  6. Step 6: Final answer
    x = 239.84

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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.