Finding the Fourth Proportional to 304.26, 456.12 and 111.78
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Solution
The fourth proportional to 304.26, 456.12 and 111.78 is: 167.57
Step by Step Solution
- Step 1: Write the proportion equation
304.26 : 456.12 = 111.78 : x - Step 2: Convert to fraction form
304.26/456.12 = 111.78/x - Step 3: Cross multiply
304.26x = 456.12 × 111.78 - Step 4: Simplify right side
304.26x = 50,985.09 - Step 5: Solve for x
x = 50,985.09/304.26 - Step 6: Final answer
x = 167.57
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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.