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Finding the Fourth Proportional to 263.09, 362.99 and 169.84

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Solution

The fourth proportional to 263.09, 362.99 and 169.84 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.09 : 362.99 = 169.84 : x
  2. Step 2: Convert to fraction form
    263.09/362.99 = 169.84/x
  3. Step 3: Cross multiply
    263.09x = 362.99 × 169.84
  4. Step 4: Simplify right side
    263.09x = 61,648.60
  5. Step 5: Solve for x
    x = 61,648.60/263.09
  6. Step 6: Final answer
    x = 234.33

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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.