Finding the Fourth Proportional to 177.68, 245.16 and 107.74
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Solution
The fourth proportional to 177.68, 245.16 and 107.74 is: 148.65
Step by Step Solution
- Step 1: Write the proportion equation
177.68 : 245.16 = 107.74 : x - Step 2: Convert to fraction form
177.68/245.16 = 107.74/x - Step 3: Cross multiply
177.68x = 245.16 × 107.74 - Step 4: Simplify right side
177.68x = 26,412.18 - Step 5: Solve for x
x = 26,412.18/177.68 - Step 6: Final answer
x = 148.65
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.