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Finding the Fourth Proportional to 204.62, 282.38 and 116.09

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Solution

The fourth proportional to 204.62, 282.38 and 116.09 is: 160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.62 : 282.38 = 116.09 : x
  2. Step 2: Convert to fraction form
    204.62/282.38 = 116.09/x
  3. Step 3: Cross multiply
    204.62x = 282.38 × 116.09
  4. Step 4: Simplify right side
    204.62x = 32,781.00
  5. Step 5: Solve for x
    x = 32,781.00/204.62
  6. Step 6: Final answer
    x = 160.21

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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.