Finding the Fourth Proportional to 207.44, 286.42 and 142.08
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Solution
The fourth proportional to 207.44, 286.42 and 142.08 is: 196.18
Step by Step Solution
- Step 1: Write the proportion equation
207.44 : 286.42 = 142.08 : x - Step 2: Convert to fraction form
207.44/286.42 = 142.08/x - Step 3: Cross multiply
207.44x = 286.42 × 142.08 - Step 4: Simplify right side
207.44x = 40,694.55 - Step 5: Solve for x
x = 40,694.55/207.44 - Step 6: Final answer
x = 196.18
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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.