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Finding the Fourth Proportional to 268.25, 402.15 and 138.25

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Solution

The fourth proportional to 268.25, 402.15 and 138.25 is: 207.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.25 : 402.15 = 138.25 : x
  2. Step 2: Convert to fraction form
    268.25/402.15 = 138.25/x
  3. Step 3: Cross multiply
    268.25x = 402.15 × 138.25
  4. Step 4: Simplify right side
    268.25x = 55,594.54
  5. Step 5: Solve for x
    x = 55,594.54/268.25
  6. Step 6: Final answer
    x = 207.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.