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Finding the Fourth Proportional to 194.02, 267.61 and 120.37

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Solution

The fourth proportional to 194.02, 267.61 and 120.37 is: 166.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.02 : 267.61 = 120.37 : x
  2. Step 2: Convert to fraction form
    194.02/267.61 = 120.37/x
  3. Step 3: Cross multiply
    194.02x = 267.61 × 120.37
  4. Step 4: Simplify right side
    194.02x = 32,211.61
  5. Step 5: Solve for x
    x = 32,211.61/194.02
  6. Step 6: Final answer
    x = 166.03

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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.