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Finding the Fourth Proportional to 268.96, 371.01 and 203.26

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Solution

The fourth proportional to 268.96, 371.01 and 203.26 is: 280.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.96 : 371.01 = 203.26 : x
  2. Step 2: Convert to fraction form
    268.96/371.01 = 203.26/x
  3. Step 3: Cross multiply
    268.96x = 371.01 × 203.26
  4. Step 4: Simplify right side
    268.96x = 75,411.49
  5. Step 5: Solve for x
    x = 75,411.49/268.96
  6. Step 6: Final answer
    x = 280.38

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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.