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Finding the Fourth Proportional to 204.24, 281.79 and 178.28

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Solution

The fourth proportional to 204.24, 281.79 and 178.28 is: 245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.24 : 281.79 = 178.28 : x
  2. Step 2: Convert to fraction form
    204.24/281.79 = 178.28/x
  3. Step 3: Cross multiply
    204.24x = 281.79 × 178.28
  4. Step 4: Simplify right side
    204.24x = 50,236.11
  5. Step 5: Solve for x
    x = 50,236.11/204.24
  6. Step 6: Final answer
    x = 245.97

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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.