Finding the Fourth Proportional to 203.50, 280.83 and 111.50
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Solution
The fourth proportional to 203.50, 280.83 and 111.50 is: 153.87
Step by Step Solution
- Step 1: Write the proportion equation
203.50 : 280.83 = 111.50 : x - Step 2: Convert to fraction form
203.50/280.83 = 111.50/x - Step 3: Cross multiply
203.50x = 280.83 × 111.50 - Step 4: Simplify right side
203.50x = 31,312.55 - Step 5: Solve for x
x = 31,312.55/203.50 - Step 6: Final answer
x = 153.87
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.