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Finding the Fourth Proportional to 260.91, 359.72 and 167.48

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Solution

The fourth proportional to 260.91, 359.72 and 167.48 is: 230.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.91 : 359.72 = 167.48 : x
  2. Step 2: Convert to fraction form
    260.91/359.72 = 167.48/x
  3. Step 3: Cross multiply
    260.91x = 359.72 × 167.48
  4. Step 4: Simplify right side
    260.91x = 60,245.07
  5. Step 5: Solve for x
    x = 60,245.07/260.91
  6. Step 6: Final answer
    x = 230.91

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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.