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Finding the Fourth Proportional to 204.63, 281.41 and 162.69

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Solution

The fourth proportional to 204.63, 281.41 and 162.69 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.63 : 281.41 = 162.69 : x
  2. Step 2: Convert to fraction form
    204.63/281.41 = 162.69/x
  3. Step 3: Cross multiply
    204.63x = 281.41 × 162.69
  4. Step 4: Simplify right side
    204.63x = 45,782.59
  5. Step 5: Solve for x
    x = 45,782.59/204.63
  6. Step 6: Final answer
    x = 223.73

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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.