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Finding the Fourth Proportional to 269.94, 372.56 and 204.33

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Solution

The fourth proportional to 269.94, 372.56 and 204.33 is: 282.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.94 : 372.56 = 204.33 : x
  2. Step 2: Convert to fraction form
    269.94/372.56 = 204.33/x
  3. Step 3: Cross multiply
    269.94x = 372.56 × 204.33
  4. Step 4: Simplify right side
    269.94x = 76,125.18
  5. Step 5: Solve for x
    x = 76,125.18/269.94
  6. Step 6: Final answer
    x = 282.01

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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.