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Finding the Fourth Proportional to 194.27, 269.15 and 192.02

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Solution

The fourth proportional to 194.27, 269.15 and 192.02 is: 266.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.27 : 269.15 = 192.02 : x
  2. Step 2: Convert to fraction form
    194.27/269.15 = 192.02/x
  3. Step 3: Cross multiply
    194.27x = 269.15 × 192.02
  4. Step 4: Simplify right side
    194.27x = 51,679.88
  5. Step 5: Solve for x
    x = 51,679.88/194.27
  6. Step 6: Final answer
    x = 266.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.