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Finding the Fourth Proportional to 190.75, 263.25 and 161.08

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Solution

The fourth proportional to 190.75, 263.25 and 161.08 is: 222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.75 : 263.25 = 161.08 : x
  2. Step 2: Convert to fraction form
    190.75/263.25 = 161.08/x
  3. Step 3: Cross multiply
    190.75x = 263.25 × 161.08
  4. Step 4: Simplify right side
    190.75x = 42,404.31
  5. Step 5: Solve for x
    x = 42,404.31/190.75
  6. Step 6: Final answer
    x = 222.30

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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.