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Finding the Fourth Proportional to 194.01, 267.78 and 116.43

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Solution

The fourth proportional to 194.01, 267.78 and 116.43 is: 160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.01 : 267.78 = 116.43 : x
  2. Step 2: Convert to fraction form
    194.01/267.78 = 116.43/x
  3. Step 3: Cross multiply
    194.01x = 267.78 × 116.43
  4. Step 4: Simplify right side
    194.01x = 31,177.04
  5. Step 5: Solve for x
    x = 31,177.04/194.01
  6. Step 6: Final answer
    x = 160.70

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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.