Finding the Fourth Proportional to 200, 300 and 189.74
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Solution
The fourth proportional to 200, 300 and 189.74 is: 284.61
Step by Step Solution
- Step 1: Write the proportion equation
200 : 300 = 189.74 : x - Step 2: Convert to fraction form
200/300 = 189.74/x - Step 3: Cross multiply
200x = 300 × 189.74 - Step 4: Simplify right side
200x = 56,922 - Step 5: Solve for x
x = 56,922/200 - Step 6: Final answer
x = 284.61
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.