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Finding the Fourth Proportional to 260.82, 360.12 and 167.61

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Solution

The fourth proportional to 260.82, 360.12 and 167.61 is: 231.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.82 : 360.12 = 167.61 : x
  2. Step 2: Convert to fraction form
    260.82/360.12 = 167.61/x
  3. Step 3: Cross multiply
    260.82x = 360.12 × 167.61
  4. Step 4: Simplify right side
    260.82x = 60,359.71
  5. Step 5: Solve for x
    x = 60,359.71/260.82
  6. Step 6: Final answer
    x = 231.42

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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.