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Finding the Fourth Proportional to 267.81, 369.79 and 205.54

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Solution

The fourth proportional to 267.81, 369.79 and 205.54 is: 283.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.81 : 369.79 = 205.54 : x
  2. Step 2: Convert to fraction form
    267.81/369.79 = 205.54/x
  3. Step 3: Cross multiply
    267.81x = 369.79 × 205.54
  4. Step 4: Simplify right side
    267.81x = 76,005.61
  5. Step 5: Solve for x
    x = 76,005.61/267.81
  6. Step 6: Final answer
    x = 283.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.