Finding the Fourth Proportional to 203.26, 304.62 and 107.14
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Solution
The fourth proportional to 203.26, 304.62 and 107.14 is: 160.57
Step by Step Solution
- Step 1: Write the proportion equation
203.26 : 304.62 = 107.14 : x - Step 2: Convert to fraction form
203.26/304.62 = 107.14/x - Step 3: Cross multiply
203.26x = 304.62 × 107.14 - Step 4: Simplify right side
203.26x = 32,636.99 - Step 5: Solve for x
x = 32,636.99/203.26 - Step 6: Final answer
x = 160.57
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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.