Finding the Fourth Proportional to 177.26, 266.09 and 96.19
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Solution
The fourth proportional to 177.26, 266.09 and 96.19 is: 144.39
Step by Step Solution
- Step 1: Write the proportion equation
177.26 : 266.09 = 96.19 : x - Step 2: Convert to fraction form
177.26/266.09 = 96.19/x - Step 3: Cross multiply
177.26x = 266.09 × 96.19 - Step 4: Simplify right side
177.26x = 25,594.05 - Step 5: Solve for x
x = 25,594.05/177.26 - Step 6: Final answer
x = 144.39
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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.