Finding the Fourth Proportional to 199.70, 299.07 and 97.05
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Solution
The fourth proportional to 199.70, 299.07 and 97.05 is: 145.35
Step by Step Solution
- Step 1: Write the proportion equation
199.70 : 299.07 = 97.05 : x - Step 2: Convert to fraction form
199.70/299.07 = 97.05/x - Step 3: Cross multiply
199.70x = 299.07 × 97.05 - Step 4: Simplify right side
199.70x = 29,024.74 - Step 5: Solve for x
x = 29,024.74/199.70 - Step 6: Final answer
x = 145.35
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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.