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Finding the Fourth Proportional to 267.17, 366.29 and 262.31

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Solution

The fourth proportional to 267.17, 366.29 and 262.31 is: 359.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.17 : 366.29 = 262.31 : x
  2. Step 2: Convert to fraction form
    267.17/366.29 = 262.31/x
  3. Step 3: Cross multiply
    267.17x = 366.29 × 262.31
  4. Step 4: Simplify right side
    267.17x = 96,080.87
  5. Step 5: Solve for x
    x = 96,080.87/267.17
  6. Step 6: Final answer
    x = 359.62

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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.