Finding the Fourth Proportional to 205.26, 307.07 and 171.08
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Solution
The fourth proportional to 205.26, 307.07 and 171.08 is: 255.92
Step by Step Solution
- Step 1: Write the proportion equation
205.26 : 307.07 = 171.08 : x - Step 2: Convert to fraction form
205.26/307.07 = 171.08/x - Step 3: Cross multiply
205.26x = 307.07 × 171.08 - Step 4: Simplify right side
205.26x = 52,531.14 - Step 5: Solve for x
x = 52,531.14/205.26 - Step 6: Final answer
x = 255.92
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.