Finding the Fourth Proportional to 201.77, 302.09 and 133.14
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Solution
The fourth proportional to 201.77, 302.09 and 133.14 is: 199.34
Step by Step Solution
- Step 1: Write the proportion equation
201.77 : 302.09 = 133.14 : x - Step 2: Convert to fraction form
201.77/302.09 = 133.14/x - Step 3: Cross multiply
201.77x = 302.09 × 133.14 - Step 4: Simplify right side
201.77x = 40,219.60 - Step 5: Solve for x
x = 40,219.60/201.77 - Step 6: Final answer
x = 199.34
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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.