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Finding the Fourth Proportional to 267.95, 369.98 and 205.68

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Solution

The fourth proportional to 267.95, 369.98 and 205.68 is: 284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.95 : 369.98 = 205.68 : x
  2. Step 2: Convert to fraction form
    267.95/369.98 = 205.68/x
  3. Step 3: Cross multiply
    267.95x = 369.98 × 205.68
  4. Step 4: Simplify right side
    267.95x = 76,096.87
  5. Step 5: Solve for x
    x = 76,096.87/267.95
  6. Step 6: Final answer
    x = 284.00

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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.