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Finding the Fourth Proportional to 213.83, 294.99 and 166.56

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Solution

The fourth proportional to 213.83, 294.99 and 166.56 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.83 : 294.99 = 166.56 : x
  2. Step 2: Convert to fraction form
    213.83/294.99 = 166.56/x
  3. Step 3: Cross multiply
    213.83x = 294.99 × 166.56
  4. Step 4: Simplify right side
    213.83x = 49,133.15
  5. Step 5: Solve for x
    x = 49,133.15/213.83
  6. Step 6: Final answer
    x = 229.78

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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.