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Finding the Fourth Proportional to 204.34, 282.17 and 163.08

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Solution

The fourth proportional to 204.34, 282.17 and 163.08 is: 225.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.34 : 282.17 = 163.08 : x
  2. Step 2: Convert to fraction form
    204.34/282.17 = 163.08/x
  3. Step 3: Cross multiply
    204.34x = 282.17 × 163.08
  4. Step 4: Simplify right side
    204.34x = 46,014.06
  5. Step 5: Solve for x
    x = 46,014.06/204.34
  6. Step 6: Final answer
    x = 225.18

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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.