Finding the Fourth Proportional to 196.07, 270.31 and 168.73
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Solution
The fourth proportional to 196.07, 270.31 and 168.73 is: 232.62
Step by Step Solution
- Step 1: Write the proportion equation
196.07 : 270.31 = 168.73 : x - Step 2: Convert to fraction form
196.07/270.31 = 168.73/x - Step 3: Cross multiply
196.07x = 270.31 × 168.73 - Step 4: Simplify right side
196.07x = 45,608.31 - Step 5: Solve for x
x = 45,608.31/196.07 - Step 6: Final answer
x = 232.62
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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.