Finding the Fourth Proportional to 207.71, 286.44 and 178.31
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Solution
The fourth proportional to 207.71, 286.44 and 178.31 is: 245.90
Step by Step Solution
- Step 1: Write the proportion equation
207.71 : 286.44 = 178.31 : x - Step 2: Convert to fraction form
207.71/286.44 = 178.31/x - Step 3: Cross multiply
207.71x = 286.44 × 178.31 - Step 4: Simplify right side
207.71x = 51,076.17 - Step 5: Solve for x
x = 51,076.17/207.71 - Step 6: Final answer
x = 245.90
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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.