Finding the Fourth Proportional to 177.70, 266.63 and 96.44
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Solution
The fourth proportional to 177.70, 266.63 and 96.44 is: 144.70
Step by Step Solution
- Step 1: Write the proportion equation
177.70 : 266.63 = 96.44 : x - Step 2: Convert to fraction form
177.70/266.63 = 96.44/x - Step 3: Cross multiply
177.70x = 266.63 × 96.44 - Step 4: Simplify right side
177.70x = 25,713.32 - Step 5: Solve for x
x = 25,713.32/177.70 - Step 6: Final answer
x = 144.70
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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.