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Finding the Fourth Proportional to 260.24, 359.17 and 251.69

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Solution

The fourth proportional to 260.24, 359.17 and 251.69 is: 347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 359.17 = 251.69 : x
  2. Step 2: Convert to fraction form
    260.24/359.17 = 251.69/x
  3. Step 3: Cross multiply
    260.24x = 359.17 × 251.69
  4. Step 4: Simplify right side
    260.24x = 90,397.07
  5. Step 5: Solve for x
    x = 90,397.07/260.24
  6. Step 6: Final answer
    x = 347.37

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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.