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Finding the Fourth Proportional to 267.27, 369 and 204.99

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Solution

The fourth proportional to 267.27, 369 and 204.99 is: 283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.27 : 369 = 204.99 : x
  2. Step 2: Convert to fraction form
    267.27/369 = 204.99/x
  3. Step 3: Cross multiply
    267.27x = 369 × 204.99
  4. Step 4: Simplify right side
    267.27x = 75,641.31
  5. Step 5: Solve for x
    x = 75,641.31/267.27
  6. Step 6: Final answer
    x = 283.01

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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.