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Finding the Fourth Proportional to 193.57, 267.12 and 109.56

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Solution

The fourth proportional to 193.57, 267.12 and 109.56 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.57 : 267.12 = 109.56 : x
  2. Step 2: Convert to fraction form
    193.57/267.12 = 109.56/x
  3. Step 3: Cross multiply
    193.57x = 267.12 × 109.56
  4. Step 4: Simplify right side
    193.57x = 29,265.67
  5. Step 5: Solve for x
    x = 29,265.67/193.57
  6. Step 6: Final answer
    x = 151.19

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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.