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Finding the Fourth Proportional to 194.20, 268.00 and 106.87

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Solution

The fourth proportional to 194.20, 268.00 and 106.87 is: 147.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.20 : 268.00 = 106.87 : x
  2. Step 2: Convert to fraction form
    194.20/268.00 = 106.87/x
  3. Step 3: Cross multiply
    194.20x = 268.00 × 106.87
  4. Step 4: Simplify right side
    194.20x = 28,640.63
  5. Step 5: Solve for x
    x = 28,640.63/194.20
  6. Step 6: Final answer
    x = 147.48

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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.