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Finding the Fourth Proportional to 178.54, 267.97 and 110.19

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Solution

The fourth proportional to 178.54, 267.97 and 110.19 is: 165.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.54 : 267.97 = 110.19 : x
  2. Step 2: Convert to fraction form
    178.54/267.97 = 110.19/x
  3. Step 3: Cross multiply
    178.54x = 267.97 × 110.19
  4. Step 4: Simplify right side
    178.54x = 29,528.56
  5. Step 5: Solve for x
    x = 29,528.56/178.54
  6. Step 6: Final answer
    x = 165.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.