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Finding the Fourth Proportional to 269.04, 370.56 and 203.44

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Solution

The fourth proportional to 269.04, 370.56 and 203.44 is: 280.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.04 : 370.56 = 203.44 : x
  2. Step 2: Convert to fraction form
    269.04/370.56 = 203.44/x
  3. Step 3: Cross multiply
    269.04x = 370.56 × 203.44
  4. Step 4: Simplify right side
    269.04x = 75,386.73
  5. Step 5: Solve for x
    x = 75,386.73/269.04
  6. Step 6: Final answer
    x = 280.21

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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.