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Finding the Fourth Proportional to 194.23, 266.39 and 184.33

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Solution

The fourth proportional to 194.23, 266.39 and 184.33 is: 252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.23 : 266.39 = 184.33 : x
  2. Step 2: Convert to fraction form
    194.23/266.39 = 184.33/x
  3. Step 3: Cross multiply
    194.23x = 266.39 × 184.33
  4. Step 4: Simplify right side
    194.23x = 49,102.75
  5. Step 5: Solve for x
    x = 49,102.75/194.23
  6. Step 6: Final answer
    x = 252.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.