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Finding the Fourth Proportional to 293.12, 439.57 and 163.32

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Solution

The fourth proportional to 293.12, 439.57 and 163.32 is: 244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.12 : 439.57 = 163.32 : x
  2. Step 2: Convert to fraction form
    293.12/439.57 = 163.32/x
  3. Step 3: Cross multiply
    293.12x = 439.57 × 163.32
  4. Step 4: Simplify right side
    293.12x = 71,790.57
  5. Step 5: Solve for x
    x = 71,790.57/293.12
  6. Step 6: Final answer
    x = 244.92

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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.