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Finding the Fourth Proportional to 204.56, 282.16 and 126.96

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Solution

The fourth proportional to 204.56, 282.16 and 126.96 is: 175.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.56 : 282.16 = 126.96 : x
  2. Step 2: Convert to fraction form
    204.56/282.16 = 126.96/x
  3. Step 3: Cross multiply
    204.56x = 282.16 × 126.96
  4. Step 4: Simplify right side
    204.56x = 35,823.03
  5. Step 5: Solve for x
    x = 35,823.03/204.56
  6. Step 6: Final answer
    x = 175.12

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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.