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Finding the Fourth Proportional to 180.47, 270.11 and 112.05

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Solution

The fourth proportional to 180.47, 270.11 and 112.05 is: 167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.47 : 270.11 = 112.05 : x
  2. Step 2: Convert to fraction form
    180.47/270.11 = 112.05/x
  3. Step 3: Cross multiply
    180.47x = 270.11 × 112.05
  4. Step 4: Simplify right side
    180.47x = 30,265.27
  5. Step 5: Solve for x
    x = 30,265.27/180.47
  6. Step 6: Final answer
    x = 167.70

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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.