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Finding the Fourth Proportional to 269.72, 372.12 and 204.26

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Solution

The fourth proportional to 269.72, 372.12 and 204.26 is: 281.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.72 : 372.12 = 204.26 : x
  2. Step 2: Convert to fraction form
    269.72/372.12 = 204.26/x
  3. Step 3: Cross multiply
    269.72x = 372.12 × 204.26
  4. Step 4: Simplify right side
    269.72x = 76,009.23
  5. Step 5: Solve for x
    x = 76,009.23/269.72
  6. Step 6: Final answer
    x = 281.81

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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.