Finding the Fourth Proportional to 254, 381 and 83
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Solution
The fourth proportional to 254, 381 and 83 is: 124.50
Step by Step Solution
- Step 1: Write the proportion equation
254 : 381 = 83 : x - Step 2: Convert to fraction form
254/381 = 83/x - Step 3: Cross multiply
254x = 381 × 83 - Step 4: Simplify right side
254x = 31,623 - Step 5: Solve for x
x = 31,623/254 - Step 6: Final answer
x = 124.50
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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.