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Finding the Fourth Proportional to 194.36, 292.94 and 186.13

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Solution

The fourth proportional to 194.36, 292.94 and 186.13 is: 280.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.36 : 292.94 = 186.13 : x
  2. Step 2: Convert to fraction form
    194.36/292.94 = 186.13/x
  3. Step 3: Cross multiply
    194.36x = 292.94 × 186.13
  4. Step 4: Simplify right side
    194.36x = 54,523.46
  5. Step 5: Solve for x
    x = 54,523.46/194.36
  6. Step 6: Final answer
    x = 280.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.