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Finding the Fourth Proportional to 293.14, 439.80 and 163.09

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Solution

The fourth proportional to 293.14, 439.80 and 163.09 is: 244.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 439.80 = 163.09 : x
  2. Step 2: Convert to fraction form
    293.14/439.80 = 163.09/x
  3. Step 3: Cross multiply
    293.14x = 439.80 × 163.09
  4. Step 4: Simplify right side
    293.14x = 71,726.98
  5. Step 5: Solve for x
    x = 71,726.98/293.14
  6. Step 6: Final answer
    x = 244.69

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