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Finding the Fourth Proportional to 267.20, 366.16 and 259.92

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Solution

The fourth proportional to 267.20, 366.16 and 259.92 is: 356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.20 : 366.16 = 259.92 : x
  2. Step 2: Convert to fraction form
    267.20/366.16 = 259.92/x
  3. Step 3: Cross multiply
    267.20x = 366.16 × 259.92
  4. Step 4: Simplify right side
    267.20x = 95,172.31
  5. Step 5: Solve for x
    x = 95,172.31/267.20
  6. Step 6: Final answer
    x = 356.18

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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.