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Finding the Fourth Proportional to 194.91, 269.15 and 168.74

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Solution

The fourth proportional to 194.91, 269.15 and 168.74 is: 233.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.91 : 269.15 = 168.74 : x
  2. Step 2: Convert to fraction form
    194.91/269.15 = 168.74/x
  3. Step 3: Cross multiply
    194.91x = 269.15 × 168.74
  4. Step 4: Simplify right side
    194.91x = 45,414.18
  5. Step 5: Solve for x
    x = 45,414.18/194.91
  6. Step 6: Final answer
    x = 233.00

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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.