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Finding the Fourth Proportional to 260.22, 359.09 and 149.62

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Solution

The fourth proportional to 260.22, 359.09 and 149.62 is: 206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.22 : 359.09 = 149.62 : x
  2. Step 2: Convert to fraction form
    260.22/359.09 = 149.62/x
  3. Step 3: Cross multiply
    260.22x = 359.09 × 149.62
  4. Step 4: Simplify right side
    260.22x = 53,727.05
  5. Step 5: Solve for x
    x = 53,727.05/260.22
  6. Step 6: Final answer
    x = 206.47

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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.