Finding the Fourth Proportional to 295, 442.50 and 102.63
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Solution
The fourth proportional to 295, 442.50 and 102.63 is: 153.95
Step by Step Solution
- Step 1: Write the proportion equation
295 : 442.50 = 102.63 : x - Step 2: Convert to fraction form
295/442.50 = 102.63/x - Step 3: Cross multiply
295x = 442.50 × 102.63 - Step 4: Simplify right side
295x = 45,413.78 - Step 5: Solve for x
x = 45,413.78/295 - Step 6: Final answer
x = 153.95
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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.