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Finding the Fourth Proportional to 213.29, 293.07 and 169.55

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Solution

The fourth proportional to 213.29, 293.07 and 169.55 is: 232.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.29 : 293.07 = 169.55 : x
  2. Step 2: Convert to fraction form
    213.29/293.07 = 169.55/x
  3. Step 3: Cross multiply
    213.29x = 293.07 × 169.55
  4. Step 4: Simplify right side
    213.29x = 49,689.84
  5. Step 5: Solve for x
    x = 49,689.84/213.29
  6. Step 6: Final answer
    x = 232.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.