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Finding the Fourth Proportional to 263.10, 362.82 and 169.83

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Solution

The fourth proportional to 263.10, 362.82 and 169.83 is: 234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.10 : 362.82 = 169.83 : x
  2. Step 2: Convert to fraction form
    263.10/362.82 = 169.83/x
  3. Step 3: Cross multiply
    263.10x = 362.82 × 169.83
  4. Step 4: Simplify right side
    263.10x = 61,617.72
  5. Step 5: Solve for x
    x = 61,617.72/263.10
  6. Step 6: Final answer
    x = 234.20

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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.