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Finding the Fourth Proportional to 260.35, 359.11 and 166.94

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Solution

The fourth proportional to 260.35, 359.11 and 166.94 is: 230.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.35 : 359.11 = 166.94 : x
  2. Step 2: Convert to fraction form
    260.35/359.11 = 166.94/x
  3. Step 3: Cross multiply
    260.35x = 359.11 × 166.94
  4. Step 4: Simplify right side
    260.35x = 59,950.66
  5. Step 5: Solve for x
    x = 59,950.66/260.35
  6. Step 6: Final answer
    x = 230.27

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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.