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Finding the Fourth Proportional to 193.82, 267.47 and 106.49

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Solution

The fourth proportional to 193.82, 267.47 and 106.49 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.82 : 267.47 = 106.49 : x
  2. Step 2: Convert to fraction form
    193.82/267.47 = 106.49/x
  3. Step 3: Cross multiply
    193.82x = 267.47 × 106.49
  4. Step 4: Simplify right side
    193.82x = 28,482.01
  5. Step 5: Solve for x
    x = 28,482.01/193.82
  6. Step 6: Final answer
    x = 146.95

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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.