Finding the Fourth Proportional to 242.26, 363.29 and 97.88
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Solution
The fourth proportional to 242.26, 363.29 and 97.88 is: 146.77
Step by Step Solution
- Step 1: Write the proportion equation
242.26 : 363.29 = 97.88 : x - Step 2: Convert to fraction form
242.26/363.29 = 97.88/x - Step 3: Cross multiply
242.26x = 363.29 × 97.88 - Step 4: Simplify right side
242.26x = 35,556.52 - Step 5: Solve for x
x = 35,556.52/242.26 - Step 6: Final answer
x = 146.77
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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.