Finding the Fourth Proportional to 202.23, 303.21 and 119.97
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Solution
The fourth proportional to 202.23, 303.21 and 119.97 is: 179.87
Step by Step Solution
- Step 1: Write the proportion equation
202.23 : 303.21 = 119.97 : x - Step 2: Convert to fraction form
202.23/303.21 = 119.97/x - Step 3: Cross multiply
202.23x = 303.21 × 119.97 - Step 4: Simplify right side
202.23x = 36,376.10 - Step 5: Solve for x
x = 36,376.10/202.23 - Step 6: Final answer
x = 179.87
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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.