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Finding the Fourth Proportional to 260.23, 359.14 and 194.62

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Solution

The fourth proportional to 260.23, 359.14 and 194.62 is: 268.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.23 : 359.14 = 194.62 : x
  2. Step 2: Convert to fraction form
    260.23/359.14 = 194.62/x
  3. Step 3: Cross multiply
    260.23x = 359.14 × 194.62
  4. Step 4: Simplify right side
    260.23x = 69,894.44
  5. Step 5: Solve for x
    x = 69,894.44/260.23
  6. Step 6: Final answer
    x = 268.59

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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.