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Finding the Fourth Proportional to 204.77, 282.71 and 168.02

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Solution

The fourth proportional to 204.77, 282.71 and 168.02 is: 231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.77 : 282.71 = 168.02 : x
  2. Step 2: Convert to fraction form
    204.77/282.71 = 168.02/x
  3. Step 3: Cross multiply
    204.77x = 282.71 × 168.02
  4. Step 4: Simplify right side
    204.77x = 47,500.93
  5. Step 5: Solve for x
    x = 47,500.93/204.77
  6. Step 6: Final answer
    x = 231.97

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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.