Finding the Fourth Proportional to 207.26, 310.94 and 91.70
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Solution
The fourth proportional to 207.26, 310.94 and 91.70 is: 137.57
Step by Step Solution
- Step 1: Write the proportion equation
207.26 : 310.94 = 91.70 : x - Step 2: Convert to fraction form
207.26/310.94 = 91.70/x - Step 3: Cross multiply
207.26x = 310.94 × 91.70 - Step 4: Simplify right side
207.26x = 28,513.20 - Step 5: Solve for x
x = 28,513.20/207.26 - Step 6: Final answer
x = 137.57
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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.