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Finding the Fourth Proportional to 194.12, 267.96 and 116.52

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Solution

The fourth proportional to 194.12, 267.96 and 116.52 is: 160.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.12 : 267.96 = 116.52 : x
  2. Step 2: Convert to fraction form
    194.12/267.96 = 116.52/x
  3. Step 3: Cross multiply
    194.12x = 267.96 × 116.52
  4. Step 4: Simplify right side
    194.12x = 31,222.70
  5. Step 5: Solve for x
    x = 31,222.70/194.12
  6. Step 6: Final answer
    x = 160.84

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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.