Finding the Fourth Proportional to 178.40, 268 and 151.44
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Solution
The fourth proportional to 178.40, 268 and 151.44 is: 227.50
Step by Step Solution
- Step 1: Write the proportion equation
178.40 : 268 = 151.44 : x - Step 2: Convert to fraction form
178.40/268 = 151.44/x - Step 3: Cross multiply
178.40x = 268 × 151.44 - Step 4: Simplify right side
178.40x = 40,585.92 - Step 5: Solve for x
x = 40,585.92/178.40 - Step 6: Final answer
x = 227.50
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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.