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Finding the Fourth Proportional to 263.06, 363.01 and 169.77

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Solution

The fourth proportional to 263.06, 363.01 and 169.77 is: 234.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.06 : 363.01 = 169.77 : x
  2. Step 2: Convert to fraction form
    263.06/363.01 = 169.77/x
  3. Step 3: Cross multiply
    263.06x = 363.01 × 169.77
  4. Step 4: Simplify right side
    263.06x = 61,628.21
  5. Step 5: Solve for x
    x = 61,628.21/263.06
  6. Step 6: Final answer
    x = 234.27

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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.