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Finding the Fourth Proportional to 267.42, 366.63 and 262.56

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Solution

The fourth proportional to 267.42, 366.63 and 262.56 is: 359.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.42 : 366.63 = 262.56 : x
  2. Step 2: Convert to fraction form
    267.42/366.63 = 262.56/x
  3. Step 3: Cross multiply
    267.42x = 366.63 × 262.56
  4. Step 4: Simplify right side
    267.42x = 96,262.37
  5. Step 5: Solve for x
    x = 96,262.37/267.42
  6. Step 6: Final answer
    x = 359.97

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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.