Finding the Fourth Proportional to 295.99, 408.14 and 202.75
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Solution
The fourth proportional to 295.99, 408.14 and 202.75 is: 279.57
Step by Step Solution
- Step 1: Write the proportion equation
295.99 : 408.14 = 202.75 : x - Step 2: Convert to fraction form
295.99/408.14 = 202.75/x - Step 3: Cross multiply
295.99x = 408.14 × 202.75 - Step 4: Simplify right side
295.99x = 82,750.39 - Step 5: Solve for x
x = 82,750.39/295.99 - Step 6: Final answer
x = 279.57
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.