Finding the Fourth Proportional to 200.84, 301.04 and 140
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Solution
The fourth proportional to 200.84, 301.04 and 140 is: 209.85
Step by Step Solution
- Step 1: Write the proportion equation
200.84 : 301.04 = 140 : x - Step 2: Convert to fraction form
200.84/301.04 = 140/x - Step 3: Cross multiply
200.84x = 301.04 × 140 - Step 4: Simplify right side
200.84x = 42,145.60 - Step 5: Solve for x
x = 42,145.60/200.84 - Step 6: Final answer
x = 209.85
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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.