Finding the Fourth Proportional to 224.75, 310.16 and 137.47
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Solution
The fourth proportional to 224.75, 310.16 and 137.47 is: 189.71
Step by Step Solution
- Step 1: Write the proportion equation
224.75 : 310.16 = 137.47 : x - Step 2: Convert to fraction form
224.75/310.16 = 137.47/x - Step 3: Cross multiply
224.75x = 310.16 × 137.47 - Step 4: Simplify right side
224.75x = 42,637.70 - Step 5: Solve for x
x = 42,637.70/224.75 - Step 6: Final answer
x = 189.71
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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.