Finding the Fourth Proportional to 203.72, 305.57 and 189.14
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Solution
The fourth proportional to 203.72, 305.57 and 189.14 is: 283.70
Step by Step Solution
- Step 1: Write the proportion equation
203.72 : 305.57 = 189.14 : x - Step 2: Convert to fraction form
203.72/305.57 = 189.14/x - Step 3: Cross multiply
203.72x = 305.57 × 189.14 - Step 4: Simplify right side
203.72x = 57,794.45 - Step 5: Solve for x
x = 57,794.45/203.72 - Step 6: Final answer
x = 283.70
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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.