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Finding the Fourth Proportional to 268.81, 402.90 and 138.42

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Solution

The fourth proportional to 268.81, 402.90 and 138.42 is: 207.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.81 : 402.90 = 138.42 : x
  2. Step 2: Convert to fraction form
    268.81/402.90 = 138.42/x
  3. Step 3: Cross multiply
    268.81x = 402.90 × 138.42
  4. Step 4: Simplify right side
    268.81x = 55,769.42
  5. Step 5: Solve for x
    x = 55,769.42/268.81
  6. Step 6: Final answer
    x = 207.47

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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.