Finding the Fourth Proportional to 311.24, 467.08 and 148.96
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Solution
The fourth proportional to 311.24, 467.08 and 148.96 is: 223.55
Step by Step Solution
- Step 1: Write the proportion equation
311.24 : 467.08 = 148.96 : x - Step 2: Convert to fraction form
311.24/467.08 = 148.96/x - Step 3: Cross multiply
311.24x = 467.08 × 148.96 - Step 4: Simplify right side
311.24x = 69,576.24 - Step 5: Solve for x
x = 69,576.24/311.24 - Step 6: Final answer
x = 223.55
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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.