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Finding the Fourth Proportional to 213.23, 294.21 and 157.87

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Solution

The fourth proportional to 213.23, 294.21 and 157.87 is: 217.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.23 : 294.21 = 157.87 : x
  2. Step 2: Convert to fraction form
    213.23/294.21 = 157.87/x
  3. Step 3: Cross multiply
    213.23x = 294.21 × 157.87
  4. Step 4: Simplify right side
    213.23x = 46,446.93
  5. Step 5: Solve for x
    x = 46,446.93/213.23
  6. Step 6: Final answer
    x = 217.83

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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.