Finding the Fourth Proportional to 192.70, 288.78 and 144.55
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Solution
The fourth proportional to 192.70, 288.78 and 144.55 is: 216.62
Step by Step Solution
- Step 1: Write the proportion equation
192.70 : 288.78 = 144.55 : x - Step 2: Convert to fraction form
192.70/288.78 = 144.55/x - Step 3: Cross multiply
192.70x = 288.78 × 144.55 - Step 4: Simplify right side
192.70x = 41,743.15 - Step 5: Solve for x
x = 41,743.15/192.70 - Step 6: Final answer
x = 216.62
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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.