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Finding the Fourth Proportional to 260.26, 359.14 and 149.74

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Solution

The fourth proportional to 260.26, 359.14 and 149.74 is: 206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.26 : 359.14 = 149.74 : x
  2. Step 2: Convert to fraction form
    260.26/359.14 = 149.74/x
  3. Step 3: Cross multiply
    260.26x = 359.14 × 149.74
  4. Step 4: Simplify right side
    260.26x = 53,777.62
  5. Step 5: Solve for x
    x = 53,777.62/260.26
  6. Step 6: Final answer
    x = 206.63

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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.