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Finding the Fourth Proportional to 204.96, 282.80 and 122.02

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Solution

The fourth proportional to 204.96, 282.80 and 122.02 is: 168.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.96 : 282.80 = 122.02 : x
  2. Step 2: Convert to fraction form
    204.96/282.80 = 122.02/x
  3. Step 3: Cross multiply
    204.96x = 282.80 × 122.02
  4. Step 4: Simplify right side
    204.96x = 34,507.26
  5. Step 5: Solve for x
    x = 34,507.26/204.96
  6. Step 6: Final answer
    x = 168.36

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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.