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Finding the Fourth Proportional to 213.05, 293.65 and 139.25

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Solution

The fourth proportional to 213.05, 293.65 and 139.25 is: 191.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.05 : 293.65 = 139.25 : x
  2. Step 2: Convert to fraction form
    213.05/293.65 = 139.25/x
  3. Step 3: Cross multiply
    213.05x = 293.65 × 139.25
  4. Step 4: Simplify right side
    213.05x = 40,891.15
  5. Step 5: Solve for x
    x = 40,891.15/213.05
  6. Step 6: Final answer
    x = 191.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.