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Finding the Fourth Proportional to 267.54, 369.21 and 151.09

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Solution

The fourth proportional to 267.54, 369.21 and 151.09 is: 208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.54 : 369.21 = 151.09 : x
  2. Step 2: Convert to fraction form
    267.54/369.21 = 151.09/x
  3. Step 3: Cross multiply
    267.54x = 369.21 × 151.09
  4. Step 4: Simplify right side
    267.54x = 55,783.94
  5. Step 5: Solve for x
    x = 55,783.94/267.54
  6. Step 6: Final answer
    x = 208.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.