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Finding the Fourth Proportional to 260.33, 359.75 and 213.62

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Solution

The fourth proportional to 260.33, 359.75 and 213.62 is: 295.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.33 : 359.75 = 213.62 : x
  2. Step 2: Convert to fraction form
    260.33/359.75 = 213.62/x
  3. Step 3: Cross multiply
    260.33x = 359.75 × 213.62
  4. Step 4: Simplify right side
    260.33x = 76,846.93
  5. Step 5: Solve for x
    x = 76,846.93/260.33
  6. Step 6: Final answer
    x = 295.20

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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.