Finding the Fourth Proportional to 193.84, 290.67 and 102.58
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Solution
The fourth proportional to 193.84, 290.67 and 102.58 is: 153.82
Step by Step Solution
- Step 1: Write the proportion equation
193.84 : 290.67 = 102.58 : x - Step 2: Convert to fraction form
193.84/290.67 = 102.58/x - Step 3: Cross multiply
193.84x = 290.67 × 102.58 - Step 4: Simplify right side
193.84x = 29,816.93 - Step 5: Solve for x
x = 29,816.93/193.84 - Step 6: Final answer
x = 153.82
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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.