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Finding the Fourth Proportional to 213.18, 294.22 and 157.84

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Solution

The fourth proportional to 213.18, 294.22 and 157.84 is: 217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.18 : 294.22 = 157.84 : x
  2. Step 2: Convert to fraction form
    213.18/294.22 = 157.84/x
  3. Step 3: Cross multiply
    213.18x = 294.22 × 157.84
  4. Step 4: Simplify right side
    213.18x = 46,439.68
  5. Step 5: Solve for x
    x = 46,439.68/213.18
  6. Step 6: Final answer
    x = 217.84

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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.