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Finding the Fourth Proportional to 268.39, 402.62 and 95.03

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Solution

The fourth proportional to 268.39, 402.62 and 95.03 is: 142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.39 : 402.62 = 95.03 : x
  2. Step 2: Convert to fraction form
    268.39/402.62 = 95.03/x
  3. Step 3: Cross multiply
    268.39x = 402.62 × 95.03
  4. Step 4: Simplify right side
    268.39x = 38,258.97
  5. Step 5: Solve for x
    x = 38,258.97/268.39
  6. Step 6: Final answer
    x = 142.55

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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.