Finding the Fourth Proportional to 278.73, 417.69 and 186
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Solution
The fourth proportional to 278.73, 417.69 and 186 is: 278.73
Step by Step Solution
- Step 1: Write the proportion equation
278.73 : 417.69 = 186 : x - Step 2: Convert to fraction form
278.73/417.69 = 186/x - Step 3: Cross multiply
278.73x = 417.69 × 186 - Step 4: Simplify right side
278.73x = 77,690.34 - Step 5: Solve for x
x = 77,690.34/278.73 - Step 6: Final answer
x = 278.73
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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.