Finding the Fourth Proportional to 207.18, 286.07 and 167.76
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Solution
The fourth proportional to 207.18, 286.07 and 167.76 is: 231.64
Step by Step Solution
- Step 1: Write the proportion equation
207.18 : 286.07 = 167.76 : x - Step 2: Convert to fraction form
207.18/286.07 = 167.76/x - Step 3: Cross multiply
207.18x = 286.07 × 167.76 - Step 4: Simplify right side
207.18x = 47,990.26 - Step 5: Solve for x
x = 47,990.26/207.18 - Step 6: Final answer
x = 231.64
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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.