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Finding the Fourth Proportional to 293.67, 439.92 and 139.13

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Solution

The fourth proportional to 293.67, 439.92 and 139.13 is: 208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.67 : 439.92 = 139.13 : x
  2. Step 2: Convert to fraction form
    293.67/439.92 = 139.13/x
  3. Step 3: Cross multiply
    293.67x = 439.92 × 139.13
  4. Step 4: Simplify right side
    293.67x = 61,203.87
  5. Step 5: Solve for x
    x = 61,203.87/293.67
  6. Step 6: Final answer
    x = 208.41

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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.