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Finding the Fourth Proportional to 267.41, 369.02 and 162.48

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Solution

The fourth proportional to 267.41, 369.02 and 162.48 is: 224.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.41 : 369.02 = 162.48 : x
  2. Step 2: Convert to fraction form
    267.41/369.02 = 162.48/x
  3. Step 3: Cross multiply
    267.41x = 369.02 × 162.48
  4. Step 4: Simplify right side
    267.41x = 59,958.37
  5. Step 5: Solve for x
    x = 59,958.37/267.41
  6. Step 6: Final answer
    x = 224.22

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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.