Finding the Fourth Proportional to 201.47, 277.99 and 114.14
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Solution
The fourth proportional to 201.47, 277.99 and 114.14 is: 157.49
Step by Step Solution
- Step 1: Write the proportion equation
201.47 : 277.99 = 114.14 : x - Step 2: Convert to fraction form
201.47/277.99 = 114.14/x - Step 3: Cross multiply
201.47x = 277.99 × 114.14 - Step 4: Simplify right side
201.47x = 31,729.15 - Step 5: Solve for x
x = 31,729.15/201.47 - Step 6: Final answer
x = 157.49
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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.