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Finding the Fourth Proportional to 293.41, 439.98 and 139.29

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Solution

The fourth proportional to 293.41, 439.98 and 139.29 is: 208.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.41 : 439.98 = 139.29 : x
  2. Step 2: Convert to fraction form
    293.41/439.98 = 139.29/x
  3. Step 3: Cross multiply
    293.41x = 439.98 × 139.29
  4. Step 4: Simplify right side
    293.41x = 61,284.81
  5. Step 5: Solve for x
    x = 61,284.81/293.41
  6. Step 6: Final answer
    x = 208.87

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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.