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Finding the Fourth Proportional to 260.52, 359.69 and 167.31

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Solution

The fourth proportional to 260.52, 359.69 and 167.31 is: 230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.52 : 359.69 = 167.31 : x
  2. Step 2: Convert to fraction form
    260.52/359.69 = 167.31/x
  3. Step 3: Cross multiply
    260.52x = 359.69 × 167.31
  4. Step 4: Simplify right side
    260.52x = 60,177.10
  5. Step 5: Solve for x
    x = 60,177.10/260.52
  6. Step 6: Final answer
    x = 230.99

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