Finding the Fourth Proportional to 202.14, 302.76 and 129.78
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Solution
The fourth proportional to 202.14, 302.76 and 129.78 is: 194.38
Step by Step Solution
- Step 1: Write the proportion equation
202.14 : 302.76 = 129.78 : x - Step 2: Convert to fraction form
202.14/302.76 = 129.78/x - Step 3: Cross multiply
202.14x = 302.76 × 129.78 - Step 4: Simplify right side
202.14x = 39,292.19 - Step 5: Solve for x
x = 39,292.19/202.14 - Step 6: Final answer
x = 194.38
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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.