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Finding the Fourth Proportional to 267.44, 366.40 and 264.92

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Solution

The fourth proportional to 267.44, 366.40 and 264.92 is: 362.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.44 : 366.40 = 264.92 : x
  2. Step 2: Convert to fraction form
    267.44/366.40 = 264.92/x
  3. Step 3: Cross multiply
    267.44x = 366.40 × 264.92
  4. Step 4: Simplify right side
    267.44x = 97,066.69
  5. Step 5: Solve for x
    x = 97,066.69/267.44
  6. Step 6: Final answer
    x = 362.95

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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.