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Finding the Fourth Proportional to 269.69, 371.81 and 203.01

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Solution

The fourth proportional to 269.69, 371.81 and 203.01 is: 279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.69 : 371.81 = 203.01 : x
  2. Step 2: Convert to fraction form
    269.69/371.81 = 203.01/x
  3. Step 3: Cross multiply
    269.69x = 371.81 × 203.01
  4. Step 4: Simplify right side
    269.69x = 75,480.13
  5. Step 5: Solve for x
    x = 75,480.13/269.69
  6. Step 6: Final answer
    x = 279.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.