Finding the Fourth Proportional to 207.44, 286.25 and 114.19
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Solution
The fourth proportional to 207.44, 286.25 and 114.19 is: 157.57
Step by Step Solution
- Step 1: Write the proportion equation
207.44 : 286.25 = 114.19 : x - Step 2: Convert to fraction form
207.44/286.25 = 114.19/x - Step 3: Cross multiply
207.44x = 286.25 × 114.19 - Step 4: Simplify right side
207.44x = 32,685.24 - Step 5: Solve for x
x = 32,685.24/207.44 - Step 6: Final answer
x = 157.57
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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.