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Finding the Fourth Proportional to 194.56, 268.49 and 107.23

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Solution

The fourth proportional to 194.56, 268.49 and 107.23 is: 147.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.56 : 268.49 = 107.23 : x
  2. Step 2: Convert to fraction form
    194.56/268.49 = 107.23/x
  3. Step 3: Cross multiply
    194.56x = 268.49 × 107.23
  4. Step 4: Simplify right side
    194.56x = 28,789.78
  5. Step 5: Solve for x
    x = 28,789.78/194.56
  6. Step 6: Final answer
    x = 147.98

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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.