Finding the Fourth Proportional to 214.00, 295.32 and 115.75
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Solution
The fourth proportional to 214.00, 295.32 and 115.75 is: 159.74
Step by Step Solution
- Step 1: Write the proportion equation
214.00 : 295.32 = 115.75 : x - Step 2: Convert to fraction form
214.00/295.32 = 115.75/x - Step 3: Cross multiply
214.00x = 295.32 × 115.75 - Step 4: Simplify right side
214.00x = 34,184.11 - Step 5: Solve for x
x = 34,184.11/214.00 - Step 6: Final answer
x = 159.74
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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.