Finding the Fourth Proportional to 207.84, 286.74 and 130.08
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Solution
The fourth proportional to 207.84, 286.74 and 130.08 is: 179.46
Step by Step Solution
- Step 1: Write the proportion equation
207.84 : 286.74 = 130.08 : x - Step 2: Convert to fraction form
207.84/286.74 = 130.08/x - Step 3: Cross multiply
207.84x = 286.74 × 130.08 - Step 4: Simplify right side
207.84x = 37,299.14 - Step 5: Solve for x
x = 37,299.14/207.84 - Step 6: Final answer
x = 179.46
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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.