Finding the Fourth Proportional to 278.08, 417.19 and 115.68
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Solution
The fourth proportional to 278.08, 417.19 and 115.68 is: 173.54
Step by Step Solution
- Step 1: Write the proportion equation
278.08 : 417.19 = 115.68 : x - Step 2: Convert to fraction form
278.08/417.19 = 115.68/x - Step 3: Cross multiply
278.08x = 417.19 × 115.68 - Step 4: Simplify right side
278.08x = 48,257.87 - Step 5: Solve for x
x = 48,257.87/278.08 - Step 6: Final answer
x = 173.54
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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.