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Finding the Fourth Proportional to 260.41, 359.03 and 166.98

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Solution

The fourth proportional to 260.41, 359.03 and 166.98 is: 230.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.41 : 359.03 = 166.98 : x
  2. Step 2: Convert to fraction form
    260.41/359.03 = 166.98/x
  3. Step 3: Cross multiply
    260.41x = 359.03 × 166.98
  4. Step 4: Simplify right side
    260.41x = 59,949.99
  5. Step 5: Solve for x
    x = 59,949.99/260.41
  6. Step 6: Final answer
    x = 230.22

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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.