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Finding the Fourth Proportional to 204.39, 281.90 and 162.84

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Solution

The fourth proportional to 204.39, 281.90 and 162.84 is: 224.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.39 : 281.90 = 162.84 : x
  2. Step 2: Convert to fraction form
    204.39/281.90 = 162.84/x
  3. Step 3: Cross multiply
    204.39x = 281.90 × 162.84
  4. Step 4: Simplify right side
    204.39x = 45,905.14
  5. Step 5: Solve for x
    x = 45,905.14/204.39
  6. Step 6: Final answer
    x = 224.60

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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.