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Finding the Fourth Proportional to 267.22, 368.61 and 168.80

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Solution

The fourth proportional to 267.22, 368.61 and 168.80 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.22 : 368.61 = 168.80 : x
  2. Step 2: Convert to fraction form
    267.22/368.61 = 168.80/x
  3. Step 3: Cross multiply
    267.22x = 368.61 × 168.80
  4. Step 4: Simplify right side
    267.22x = 62,221.66
  5. Step 5: Solve for x
    x = 62,221.66/267.22
  6. Step 6: Final answer
    x = 232.85

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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.