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Finding the Fourth Proportional to 260.85, 359.80 and 167.56

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Solution

The fourth proportional to 260.85, 359.80 and 167.56 is: 231.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.85 : 359.80 = 167.56 : x
  2. Step 2: Convert to fraction form
    260.85/359.80 = 167.56/x
  3. Step 3: Cross multiply
    260.85x = 359.80 × 167.56
  4. Step 4: Simplify right side
    260.85x = 60,286.77
  5. Step 5: Solve for x
    x = 60,286.77/260.85
  6. Step 6: Final answer
    x = 231.11

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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.