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Finding the Fourth Proportional to 193.70, 267.30 and 106.37

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Solution

The fourth proportional to 193.70, 267.30 and 106.37 is: 146.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.70 : 267.30 = 106.37 : x
  2. Step 2: Convert to fraction form
    193.70/267.30 = 106.37/x
  3. Step 3: Cross multiply
    193.70x = 267.30 × 106.37
  4. Step 4: Simplify right side
    193.70x = 28,432.70
  5. Step 5: Solve for x
    x = 28,432.70/193.70
  6. Step 6: Final answer
    x = 146.79

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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.