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Finding the Fourth Proportional to 190.42, 263.05 and 169.63

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Solution

The fourth proportional to 190.42, 263.05 and 169.63 is: 234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.42 : 263.05 = 169.63 : x
  2. Step 2: Convert to fraction form
    190.42/263.05 = 169.63/x
  3. Step 3: Cross multiply
    190.42x = 263.05 × 169.63
  4. Step 4: Simplify right side
    190.42x = 44,620.09
  5. Step 5: Solve for x
    x = 44,620.09/190.42
  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.