Finding the Fourth Proportional to 200.50, 300.81 and 103
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Solution
The fourth proportional to 200.50, 300.81 and 103 is: 154.53
Step by Step Solution
- Step 1: Write the proportion equation
200.50 : 300.81 = 103 : x - Step 2: Convert to fraction form
200.50/300.81 = 103/x - Step 3: Cross multiply
200.50x = 300.81 × 103 - Step 4: Simplify right side
200.50x = 30,983.43 - Step 5: Solve for x
x = 30,983.43/200.50 - Step 6: Final answer
x = 154.53
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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.