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Finding the Fourth Proportional to 194.23, 268.03 and 105.71

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Solution

The fourth proportional to 194.23, 268.03 and 105.71 is: 145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 268.03 = 105.71 : x
  2. Step 2: Convert to fraction form
    194.23/268.03 = 105.71/x
  3. Step 3: Cross multiply
    194.23x = 268.03 × 105.71
  4. Step 4: Simplify right side
    194.23x = 28,333.05
  5. Step 5: Solve for x
    x = 28,333.05/194.23
  6. Step 6: Final answer
    x = 145.88

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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.