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Finding the Fourth Proportional to 190.74, 263.45 and 161.33

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Solution

The fourth proportional to 190.74, 263.45 and 161.33 is: 222.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.74 : 263.45 = 161.33 : x
  2. Step 2: Convert to fraction form
    190.74/263.45 = 161.33/x
  3. Step 3: Cross multiply
    190.74x = 263.45 × 161.33
  4. Step 4: Simplify right side
    190.74x = 42,502.39
  5. Step 5: Solve for x
    x = 42,502.39/190.74
  6. Step 6: Final answer
    x = 222.83

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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.