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Finding the Fourth Proportional to 179.31, 270.17 and 162.21

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Solution

The fourth proportional to 179.31, 270.17 and 162.21 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.31 : 270.17 = 162.21 : x
  2. Step 2: Convert to fraction form
    179.31/270.17 = 162.21/x
  3. Step 3: Cross multiply
    179.31x = 270.17 × 162.21
  4. Step 4: Simplify right side
    179.31x = 43,824.68
  5. Step 5: Solve for x
    x = 43,824.68/179.31
  6. Step 6: Final answer
    x = 244.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.