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Finding the Fourth Proportional to 204.36, 281.45 and 178.13

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Solution

The fourth proportional to 204.36, 281.45 and 178.13 is: 245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.36 : 281.45 = 178.13 : x
  2. Step 2: Convert to fraction form
    204.36/281.45 = 178.13/x
  3. Step 3: Cross multiply
    204.36x = 281.45 × 178.13
  4. Step 4: Simplify right side
    204.36x = 50,132.39
  5. Step 5: Solve for x
    x = 50,132.39/204.36
  6. Step 6: Final answer
    x = 245.31

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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.