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Finding the Fourth Proportional to 194.95, 269.01 and 112.05

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Solution

The fourth proportional to 194.95, 269.01 and 112.05 is: 154.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.95 : 269.01 = 112.05 : x
  2. Step 2: Convert to fraction form
    194.95/269.01 = 112.05/x
  3. Step 3: Cross multiply
    194.95x = 269.01 × 112.05
  4. Step 4: Simplify right side
    194.95x = 30,142.57
  5. Step 5: Solve for x
    x = 30,142.57/194.95
  6. Step 6: Final answer
    x = 154.62

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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.