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Finding the Fourth Proportional to 190.54, 262.56 and 161.02

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Solution

The fourth proportional to 190.54, 262.56 and 161.02 is: 221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.54 : 262.56 = 161.02 : x
  2. Step 2: Convert to fraction form
    190.54/262.56 = 161.02/x
  3. Step 3: Cross multiply
    190.54x = 262.56 × 161.02
  4. Step 4: Simplify right side
    190.54x = 42,277.41
  5. Step 5: Solve for x
    x = 42,277.41/190.54
  6. Step 6: Final answer
    x = 221.88

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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.