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Finding the Fourth Proportional to 267.32, 368.97 and 193.68

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Solution

The fourth proportional to 267.32, 368.97 and 193.68 is: 267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.32 : 368.97 = 193.68 : x
  2. Step 2: Convert to fraction form
    267.32/368.97 = 193.68/x
  3. Step 3: Cross multiply
    267.32x = 368.97 × 193.68
  4. Step 4: Simplify right side
    267.32x = 71,462.11
  5. Step 5: Solve for x
    x = 71,462.11/267.32
  6. Step 6: Final answer
    x = 267.33

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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.