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Finding the Fourth Proportional to 213.31, 294.19 and 157.96

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Solution

The fourth proportional to 213.31, 294.19 and 157.96 is: 217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.31 : 294.19 = 157.96 : x
  2. Step 2: Convert to fraction form
    213.31/294.19 = 157.96/x
  3. Step 3: Cross multiply
    213.31x = 294.19 × 157.96
  4. Step 4: Simplify right side
    213.31x = 46,470.25
  5. Step 5: Solve for x
    x = 46,470.25/213.31
  6. Step 6: Final answer
    x = 217.85

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Why These Related Problems?

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