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Finding the Fourth Proportional to 293.38, 439.82 and 139.22

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Solution

The fourth proportional to 293.38, 439.82 and 139.22 is: 208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.38 : 439.82 = 139.22 : x
  2. Step 2: Convert to fraction form
    293.38/439.82 = 139.22/x
  3. Step 3: Cross multiply
    293.38x = 439.82 × 139.22
  4. Step 4: Simplify right side
    293.38x = 61,231.74
  5. Step 5: Solve for x
    x = 61,231.74/293.38
  6. Step 6: Final answer
    x = 208.71

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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.