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Finding the Fourth Proportional to 193.57, 267.14 and 106.24

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Solution

The fourth proportional to 193.57, 267.14 and 106.24 is: 146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.57 : 267.14 = 106.24 : x
  2. Step 2: Convert to fraction form
    193.57/267.14 = 106.24/x
  3. Step 3: Cross multiply
    193.57x = 267.14 × 106.24
  4. Step 4: Simplify right side
    193.57x = 28,380.95
  5. Step 5: Solve for x
    x = 28,380.95/193.57
  6. Step 6: Final answer
    x = 146.62

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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.