Finding the Fourth Proportional to 317.60, 438 and 200.96
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Solution
The fourth proportional to 317.60, 438 and 200.96 is: 277.14
Step by Step Solution
- Step 1: Write the proportion equation
317.60 : 438 = 200.96 : x - Step 2: Convert to fraction form
317.60/438 = 200.96/x - Step 3: Cross multiply
317.60x = 438 × 200.96 - Step 4: Simplify right side
317.60x = 88,020.48 - Step 5: Solve for x
x = 88,020.48/317.60 - Step 6: Final answer
x = 277.14
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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.