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Finding the Fourth Proportional to 267.92, 366.54 and 266.76

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Solution

The fourth proportional to 267.92, 366.54 and 266.76 is: 364.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.92 : 366.54 = 266.76 : x
  2. Step 2: Convert to fraction form
    267.92/366.54 = 266.76/x
  3. Step 3: Cross multiply
    267.92x = 366.54 × 266.76
  4. Step 4: Simplify right side
    267.92x = 97,778.21
  5. Step 5: Solve for x
    x = 97,778.21/267.92
  6. Step 6: Final answer
    x = 364.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.