Finding the Fourth Proportional to 226.16, 312.28 and 160.56
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Solution
The fourth proportional to 226.16, 312.28 and 160.56 is: 221.70
Step by Step Solution
- Step 1: Write the proportion equation
226.16 : 312.28 = 160.56 : x - Step 2: Convert to fraction form
226.16/312.28 = 160.56/x - Step 3: Cross multiply
226.16x = 312.28 × 160.56 - Step 4: Simplify right side
226.16x = 50,139.68 - Step 5: Solve for x
x = 50,139.68/226.16 - Step 6: Final answer
x = 221.70
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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.