Finding the Fourth Proportional to 302.99, 418.26 and 178.76
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Solution
The fourth proportional to 302.99, 418.26 and 178.76 is: 246.77
Step by Step Solution
- Step 1: Write the proportion equation
302.99 : 418.26 = 178.76 : x - Step 2: Convert to fraction form
302.99/418.26 = 178.76/x - Step 3: Cross multiply
302.99x = 418.26 × 178.76 - Step 4: Simplify right side
302.99x = 74,767.52 - Step 5: Solve for x
x = 74,767.52/302.99 - Step 6: Final answer
x = 246.77
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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.