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Finding the Fourth Proportional to 193.98, 267.83 and 120.40

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Solution

The fourth proportional to 193.98, 267.83 and 120.40 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.98 : 267.83 = 120.40 : x
  2. Step 2: Convert to fraction form
    193.98/267.83 = 120.40/x
  3. Step 3: Cross multiply
    193.98x = 267.83 × 120.40
  4. Step 4: Simplify right side
    193.98x = 32,246.73
  5. Step 5: Solve for x
    x = 32,246.73/193.98
  6. Step 6: Final answer
    x = 166.24

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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.