Finding the Fourth Proportional to 543.75, 815.76 and 159
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Solution
The fourth proportional to 543.75, 815.76 and 159 is: 238.54
Step by Step Solution
- Step 1: Write the proportion equation
543.75 : 815.76 = 159 : x - Step 2: Convert to fraction form
543.75/815.76 = 159/x - Step 3: Cross multiply
543.75x = 815.76 × 159 - Step 4: Simplify right side
543.75x = 129,705.84 - Step 5: Solve for x
x = 129,705.84/543.75 - Step 6: Final answer
x = 238.54
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.