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Finding the Fourth Proportional to 204.08, 281.78 and 182.22

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Solution

The fourth proportional to 204.08, 281.78 and 182.22 is: 251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.08 : 281.78 = 182.22 : x
  2. Step 2: Convert to fraction form
    204.08/281.78 = 182.22/x
  3. Step 3: Cross multiply
    204.08x = 281.78 × 182.22
  4. Step 4: Simplify right side
    204.08x = 51,345.95
  5. Step 5: Solve for x
    x = 51,345.95/204.08
  6. Step 6: Final answer
    x = 251.60

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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.