Finding the Fourth Proportional to 205.48, 307.50 and 157
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Solution
The fourth proportional to 205.48, 307.50 and 157 is: 234.95
Step by Step Solution
- Step 1: Write the proportion equation
205.48 : 307.50 = 157 : x - Step 2: Convert to fraction form
205.48/307.50 = 157/x - Step 3: Cross multiply
205.48x = 307.50 × 157 - Step 4: Simplify right side
205.48x = 48,277.50 - Step 5: Solve for x
x = 48,277.50/205.48 - Step 6: Final answer
x = 234.95
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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.