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Finding the Fourth Proportional to 194.10, 267.86 and 106.78

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Solution

The fourth proportional to 194.10, 267.86 and 106.78 is: 147.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.10 : 267.86 = 106.78 : x
  2. Step 2: Convert to fraction form
    194.10/267.86 = 106.78/x
  3. Step 3: Cross multiply
    194.10x = 267.86 × 106.78
  4. Step 4: Simplify right side
    194.10x = 28,602.09
  5. Step 5: Solve for x
    x = 28,602.09/194.10
  6. Step 6: Final answer
    x = 147.36

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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.