Finding the Fourth Proportional to 284.98, 427.47 and 157.54
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Solution
The fourth proportional to 284.98, 427.47 and 157.54 is: 236.31
Step by Step Solution
- Step 1: Write the proportion equation
284.98 : 427.47 = 157.54 : x - Step 2: Convert to fraction form
284.98/427.47 = 157.54/x - Step 3: Cross multiply
284.98x = 427.47 × 157.54 - Step 4: Simplify right side
284.98x = 67,343.62 - Step 5: Solve for x
x = 67,343.62/284.98 - Step 6: Final answer
x = 236.31
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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.