Finding the Fourth Proportional to 205.68, 308 and 165.36
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Solution
The fourth proportional to 205.68, 308 and 165.36 is: 247.62
Step by Step Solution
- Step 1: Write the proportion equation
205.68 : 308 = 165.36 : x - Step 2: Convert to fraction form
205.68/308 = 165.36/x - Step 3: Cross multiply
205.68x = 308 × 165.36 - Step 4: Simplify right side
205.68x = 50,930.88 - Step 5: Solve for x
x = 50,930.88/205.68 - Step 6: Final answer
x = 247.62
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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.