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Finding the Fourth Proportional to 194.47, 268.11 and 169.90

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Solution

The fourth proportional to 194.47, 268.11 and 169.90 is: 234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.47 : 268.11 = 169.90 : x
  2. Step 2: Convert to fraction form
    194.47/268.11 = 169.90/x
  3. Step 3: Cross multiply
    194.47x = 268.11 × 169.90
  4. Step 4: Simplify right side
    194.47x = 45,551.22
  5. Step 5: Solve for x
    x = 45,551.22/194.47
  6. Step 6: Final answer
    x = 234.24

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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.