Finding the Fourth Proportional to 289.20, 433.64 and 198
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Solution
The fourth proportional to 289.20, 433.64 and 198 is: 296.89
Step by Step Solution
- Step 1: Write the proportion equation
289.20 : 433.64 = 198 : x - Step 2: Convert to fraction form
289.20/433.64 = 198/x - Step 3: Cross multiply
289.20x = 433.64 × 198 - Step 4: Simplify right side
289.20x = 85,859.73 - Step 5: Solve for x
x = 85,859.73/289.20 - Step 6: Final answer
x = 296.89
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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.