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Finding the Fourth Proportional to 367, 506.10 and 268.44

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Solution

The fourth proportional to 367, 506.10 and 268.44 is: 370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    367 : 506.10 = 268.44 : x
  2. Step 2: Convert to fraction form
    367/506.10 = 268.44/x
  3. Step 3: Cross multiply
    367x = 506.10 × 268.44
  4. Step 4: Simplify right side
    367x = 135,857.48
  5. Step 5: Solve for x
    x = 135,857.48/367
  6. Step 6: Final answer
    x = 370.18

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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.