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Finding the Fourth Proportional to 293.17, 439.80 and 163.29

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Solution

The fourth proportional to 293.17, 439.80 and 163.29 is: 244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.17 : 439.80 = 163.29 : x
  2. Step 2: Convert to fraction form
    293.17/439.80 = 163.29/x
  3. Step 3: Cross multiply
    293.17x = 439.80 × 163.29
  4. Step 4: Simplify right side
    293.17x = 71,814.94
  5. Step 5: Solve for x
    x = 71,814.94/293.17
  6. Step 6: Final answer
    x = 244.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.