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Finding the Fourth Proportional to 267.30, 369 and 167.76

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Solution

The fourth proportional to 267.30, 369 and 167.76 is: 231.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    267.30 : 369 = 167.76 : x
  2. Step 2: Convert to fraction form
    267.30/369 = 167.76/x
  3. Step 3: Cross multiply
    267.30x = 369 × 167.76
  4. Step 4: Simplify right side
    267.30x = 61,903.44
  5. Step 5: Solve for x
    x = 61,903.44/267.30
  6. Step 6: Final answer
    x = 231.59

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