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Finding the Fourth Proportional to 260.75, 359.75 and 167.33

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Solution

The fourth proportional to 260.75, 359.75 and 167.33 is: 230.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.75 : 359.75 = 167.33 : x
  2. Step 2: Convert to fraction form
    260.75/359.75 = 167.33/x
  3. Step 3: Cross multiply
    260.75x = 359.75 × 167.33
  4. Step 4: Simplify right side
    260.75x = 60,197.00
  5. Step 5: Solve for x
    x = 60,197.00/260.75
  6. Step 6: Final answer
    x = 230.86

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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.