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Finding the Fourth Proportional to 193.60, 267.17 and 106.27

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Solution

The fourth proportional to 193.60, 267.17 and 106.27 is: 146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.60 : 267.17 = 106.27 : x
  2. Step 2: Convert to fraction form
    193.60/267.17 = 106.27/x
  3. Step 3: Cross multiply
    193.60x = 267.17 × 106.27
  4. Step 4: Simplify right side
    193.60x = 28,392.16
  5. Step 5: Solve for x
    x = 28,392.16/193.60
  6. Step 6: Final answer
    x = 146.65

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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.