Finding the Fourth Proportional to 272.91, 409.14 and 135.84
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Solution
The fourth proportional to 272.91, 409.14 and 135.84 is: 203.65
Step by Step Solution
- Step 1: Write the proportion equation
272.91 : 409.14 = 135.84 : x - Step 2: Convert to fraction form
272.91/409.14 = 135.84/x - Step 3: Cross multiply
272.91x = 409.14 × 135.84 - Step 4: Simplify right side
272.91x = 55,577.58 - Step 5: Solve for x
x = 55,577.58/272.91 - Step 6: Final answer
x = 203.65
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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.