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Finding the Fourth Proportional to 204.54, 282.24 and 116.02

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Solution

The fourth proportional to 204.54, 282.24 and 116.02 is: 160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.54 : 282.24 = 116.02 : x
  2. Step 2: Convert to fraction form
    204.54/282.24 = 116.02/x
  3. Step 3: Cross multiply
    204.54x = 282.24 × 116.02
  4. Step 4: Simplify right side
    204.54x = 32,745.48
  5. Step 5: Solve for x
    x = 32,745.48/204.54
  6. Step 6: Final answer
    x = 160.09

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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.