Finding the Fourth Proportional to 381.45, 571.85 and 137.81
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Solution
The fourth proportional to 381.45, 571.85 and 137.81 is: 206.60
Step by Step Solution
- Step 1: Write the proportion equation
381.45 : 571.85 = 137.81 : x - Step 2: Convert to fraction form
381.45/571.85 = 137.81/x - Step 3: Cross multiply
381.45x = 571.85 × 137.81 - Step 4: Simplify right side
381.45x = 78,807.91 - Step 5: Solve for x
x = 78,807.91/381.45 - Step 6: Final answer
x = 206.60
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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.