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Finding the Fourth Proportional to 259.43, 355.82 and 246.24

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Solution

The fourth proportional to 259.43, 355.82 and 246.24 is: 337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.43 : 355.82 = 246.24 : x
  2. Step 2: Convert to fraction form
    259.43/355.82 = 246.24/x
  3. Step 3: Cross multiply
    259.43x = 355.82 × 246.24
  4. Step 4: Simplify right side
    259.43x = 87,615.89
  5. Step 5: Solve for x
    x = 87,615.89/259.43
  6. Step 6: Final answer
    x = 337.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.