Finding the Fourth Proportional to 199.75, 275.67 and 122.14
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Solution
The fourth proportional to 199.75, 275.67 and 122.14 is: 168.56
Step by Step Solution
- Step 1: Write the proportion equation
199.75 : 275.67 = 122.14 : x - Step 2: Convert to fraction form
199.75/275.67 = 122.14/x - Step 3: Cross multiply
199.75x = 275.67 × 122.14 - Step 4: Simplify right side
199.75x = 33,670.33 - Step 5: Solve for x
x = 33,670.33/199.75 - Step 6: Final answer
x = 168.56
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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.