Finding the Fourth Proportional to 277.68, 416.24 and 205.86
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Solution
The fourth proportional to 277.68, 416.24 and 205.86 is: 308.58
Step by Step Solution
- Step 1: Write the proportion equation
277.68 : 416.24 = 205.86 : x - Step 2: Convert to fraction form
277.68/416.24 = 205.86/x - Step 3: Cross multiply
277.68x = 416.24 × 205.86 - Step 4: Simplify right side
277.68x = 85,687.17 - Step 5: Solve for x
x = 85,687.17/277.68 - Step 6: Final answer
x = 308.58
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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.