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Finding the Fourth Proportional to 213.57, 294.03 and 169.83

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Solution

The fourth proportional to 213.57, 294.03 and 169.83 is: 233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 294.03 = 169.83 : x
  2. Step 2: Convert to fraction form
    213.57/294.03 = 169.83/x
  3. Step 3: Cross multiply
    213.57x = 294.03 × 169.83
  4. Step 4: Simplify right side
    213.57x = 49,935.11
  5. Step 5: Solve for x
    x = 49,935.11/213.57
  6. Step 6: Final answer
    x = 233.81

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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.