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Finding the Fourth Proportional to 267.34, 368.82 and 162.43

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Solution

The fourth proportional to 267.34, 368.82 and 162.43 is: 224.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.34 : 368.82 = 162.43 : x
  2. Step 2: Convert to fraction form
    267.34/368.82 = 162.43/x
  3. Step 3: Cross multiply
    267.34x = 368.82 × 162.43
  4. Step 4: Simplify right side
    267.34x = 59,907.43
  5. Step 5: Solve for x
    x = 59,907.43/267.34
  6. Step 6: Final answer
    x = 224.09

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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.