Finding the Fourth Proportional to 279.98, 419.94 and 208.28
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Solution
The fourth proportional to 279.98, 419.94 and 208.28 is: 312.40
Step by Step Solution
- Step 1: Write the proportion equation
279.98 : 419.94 = 208.28 : x - Step 2: Convert to fraction form
279.98/419.94 = 208.28/x - Step 3: Cross multiply
279.98x = 419.94 × 208.28 - Step 4: Simplify right side
279.98x = 87,465.10 - Step 5: Solve for x
x = 87,465.10/279.98 - Step 6: Final answer
x = 312.40
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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.