Finding the Fourth Proportional to 189.75, 284.64 and 61.50
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Solution
The fourth proportional to 189.75, 284.64 and 61.50 is: 92.25
Step by Step Solution
- Step 1: Write the proportion equation
189.75 : 284.64 = 61.50 : x - Step 2: Convert to fraction form
189.75/284.64 = 61.50/x - Step 3: Cross multiply
189.75x = 284.64 × 61.50 - Step 4: Simplify right side
189.75x = 17,505.36 - Step 5: Solve for x
x = 17,505.36/189.75 - Step 6: Final answer
x = 92.25
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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.