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Finding the Fourth Proportional to 194.20, 267.84 and 116.50

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Solution

The fourth proportional to 194.20, 267.84 and 116.50 is: 160.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 267.84 = 116.50 : x
  2. Step 2: Convert to fraction form
    194.20/267.84 = 116.50/x
  3. Step 3: Cross multiply
    194.20x = 267.84 × 116.50
  4. Step 4: Simplify right side
    194.20x = 31,203.36
  5. Step 5: Solve for x
    x = 31,203.36/194.20
  6. Step 6: Final answer
    x = 160.68

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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.