Finding the Fourth Proportional to 274.79, 378.99 and 164.24
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Solution
The fourth proportional to 274.79, 378.99 and 164.24 is: 226.52
Step by Step Solution
- Step 1: Write the proportion equation
274.79 : 378.99 = 164.24 : x - Step 2: Convert to fraction form
274.79/378.99 = 164.24/x - Step 3: Cross multiply
274.79x = 378.99 × 164.24 - Step 4: Simplify right side
274.79x = 62,243.42 - Step 5: Solve for x
x = 62,243.42/274.79 - Step 6: Final answer
x = 226.52
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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.