Finding the Fourth Proportional to 151.25, 208.73 and 82.25
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Solution
The fourth proportional to 151.25, 208.73 and 82.25 is: 113.51
Step by Step Solution
- Step 1: Write the proportion equation
151.25 : 208.73 = 82.25 : x - Step 2: Convert to fraction form
151.25/208.73 = 82.25/x - Step 3: Cross multiply
151.25x = 208.73 × 82.25 - Step 4: Simplify right side
151.25x = 17,167.63 - Step 5: Solve for x
x = 17,167.63/151.25 - Step 6: Final answer
x = 113.51
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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.