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Finding the Fourth Proportional to 267.94, 366.54 and 266.41

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Solution

The fourth proportional to 267.94, 366.54 and 266.41 is: 364.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.94 : 366.54 = 266.41 : x
  2. Step 2: Convert to fraction form
    267.94/366.54 = 266.41/x
  3. Step 3: Cross multiply
    267.94x = 366.54 × 266.41
  4. Step 4: Simplify right side
    267.94x = 97,649.92
  5. Step 5: Solve for x
    x = 97,649.92/267.94
  6. Step 6: Final answer
    x = 364.45

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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.