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Finding the Fourth Proportional to 204.56, 282.25 and 116.05

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Solution

The fourth proportional to 204.56, 282.25 and 116.05 is: 160.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 282.25 = 116.05 : x
  2. Step 2: Convert to fraction form
    204.56/282.25 = 116.05/x
  3. Step 3: Cross multiply
    204.56x = 282.25 × 116.05
  4. Step 4: Simplify right side
    204.56x = 32,753.40
  5. Step 5: Solve for x
    x = 32,753.40/204.56
  6. Step 6: Final answer
    x = 160.11

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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.