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Finding the Fourth Proportional to 204.81, 282.75 and 161.49

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Solution

The fourth proportional to 204.81, 282.75 and 161.49 is: 222.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.81 : 282.75 = 161.49 : x
  2. Step 2: Convert to fraction form
    204.81/282.75 = 161.49/x
  3. Step 3: Cross multiply
    204.81x = 282.75 × 161.49
  4. Step 4: Simplify right side
    204.81x = 45,661.30
  5. Step 5: Solve for x
    x = 45,661.30/204.81
  6. Step 6: Final answer
    x = 222.94

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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.