Finding the Fourth Proportional to 742.86, 1,114.29 and 195
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Solution
The fourth proportional to 742.86, 1,114.29 and 195 is: 292.50
Step by Step Solution
- Step 1: Write the proportion equation
742.86 : 1,114.29 = 195 : x - Step 2: Convert to fraction form
742.86/1,114.29 = 195/x - Step 3: Cross multiply
742.86x = 1,114.29 × 195 - Step 4: Simplify right side
742.86x = 217,286.55 - Step 5: Solve for x
x = 217,286.55/742.86 - Step 6: Final answer
x = 292.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.