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Finding the Fourth Proportional to 179.97, 270.13 and 111.63

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Solution

The fourth proportional to 179.97, 270.13 and 111.63 is: 167.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.97 : 270.13 = 111.63 : x
  2. Step 2: Convert to fraction form
    179.97/270.13 = 111.63/x
  3. Step 3: Cross multiply
    179.97x = 270.13 × 111.63
  4. Step 4: Simplify right side
    179.97x = 30,152.70
  5. Step 5: Solve for x
    x = 30,152.70/179.97
  6. Step 6: Final answer
    x = 167.54

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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.