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Finding the Fourth Proportional to 194.49, 268.37 and 107.16

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Solution

The fourth proportional to 194.49, 268.37 and 107.16 is: 147.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.49 : 268.37 = 107.16 : x
  2. Step 2: Convert to fraction form
    194.49/268.37 = 107.16/x
  3. Step 3: Cross multiply
    194.49x = 268.37 × 107.16
  4. Step 4: Simplify right side
    194.49x = 28,757.19
  5. Step 5: Solve for x
    x = 28,757.19/194.49
  6. Step 6: Final answer
    x = 147.86

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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.