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Finding the Fourth Proportional to 179.26, 247.61 and 161.95

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Solution

The fourth proportional to 179.26, 247.61 and 161.95 is: 223.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.26 : 247.61 = 161.95 : x
  2. Step 2: Convert to fraction form
    179.26/247.61 = 161.95/x
  3. Step 3: Cross multiply
    179.26x = 247.61 × 161.95
  4. Step 4: Simplify right side
    179.26x = 40,100.44
  5. Step 5: Solve for x
    x = 40,100.44/179.26
  6. Step 6: Final answer
    x = 223.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.