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Finding the Fourth Proportional to 213.73, 294.88 and 169.50

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Solution

The fourth proportional to 213.73, 294.88 and 169.50 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.73 : 294.88 = 169.50 : x
  2. Step 2: Convert to fraction form
    213.73/294.88 = 169.50/x
  3. Step 3: Cross multiply
    213.73x = 294.88 × 169.50
  4. Step 4: Simplify right side
    213.73x = 49,982.16
  5. Step 5: Solve for x
    x = 49,982.16/213.73
  6. Step 6: Final answer
    x = 233.86

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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.