Finding the Fourth Proportional to 195.70, 270.14 and 149.07
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Solution
The fourth proportional to 195.70, 270.14 and 149.07 is: 205.77
Step by Step Solution
- Step 1: Write the proportion equation
195.70 : 270.14 = 149.07 : x - Step 2: Convert to fraction form
195.70/270.14 = 149.07/x - Step 3: Cross multiply
195.70x = 270.14 × 149.07 - Step 4: Simplify right side
195.70x = 40,269.77 - Step 5: Solve for x
x = 40,269.77/195.70 - Step 6: Final answer
x = 205.77
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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.