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Finding the Fourth Proportional to 268.63, 403.67 and 205.27

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Solution

The fourth proportional to 268.63, 403.67 and 205.27 is: 308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.63 : 403.67 = 205.27 : x
  2. Step 2: Convert to fraction form
    268.63/403.67 = 205.27/x
  3. Step 3: Cross multiply
    268.63x = 403.67 × 205.27
  4. Step 4: Simplify right side
    268.63x = 82,861.34
  5. Step 5: Solve for x
    x = 82,861.34/268.63
  6. Step 6: Final answer
    x = 308.46

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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.