Finding the Fourth Proportional to 197.29, 295.62 and 119.08
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Solution
The fourth proportional to 197.29, 295.62 and 119.08 is: 178.43
Step by Step Solution
- Step 1: Write the proportion equation
197.29 : 295.62 = 119.08 : x - Step 2: Convert to fraction form
197.29/295.62 = 119.08/x - Step 3: Cross multiply
197.29x = 295.62 × 119.08 - Step 4: Simplify right side
197.29x = 35,202.43 - Step 5: Solve for x
x = 35,202.43/197.29 - Step 6: Final answer
x = 178.43
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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.