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Finding the Fourth Proportional to 213.45, 294.41 and 206.31

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Solution

The fourth proportional to 213.45, 294.41 and 206.31 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.45 : 294.41 = 206.31 : x
  2. Step 2: Convert to fraction form
    213.45/294.41 = 206.31/x
  3. Step 3: Cross multiply
    213.45x = 294.41 × 206.31
  4. Step 4: Simplify right side
    213.45x = 60,739.15
  5. Step 5: Solve for x
    x = 60,739.15/213.45
  6. Step 6: Final answer
    x = 284.56

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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.