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Finding the Fourth Proportional to 204.55, 282.27 and 116.05

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Solution

The fourth proportional to 204.55, 282.27 and 116.05 is: 160.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.55 : 282.27 = 116.05 : x
  2. Step 2: Convert to fraction form
    204.55/282.27 = 116.05/x
  3. Step 3: Cross multiply
    204.55x = 282.27 × 116.05
  4. Step 4: Simplify right side
    204.55x = 32,757.43
  5. Step 5: Solve for x
    x = 32,757.43/204.55
  6. Step 6: Final answer
    x = 160.14

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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.