Finding the Fourth Proportional to 259.80, 389.52 and 138
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Solution
The fourth proportional to 259.80, 389.52 and 138 is: 206.90
Step by Step Solution
- Step 1: Write the proportion equation
259.80 : 389.52 = 138 : x - Step 2: Convert to fraction form
259.80/389.52 = 138/x - Step 3: Cross multiply
259.80x = 389.52 × 138 - Step 4: Simplify right side
259.80x = 53,753.76 - Step 5: Solve for x
x = 53,753.76/259.80 - Step 6: Final answer
x = 206.90
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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.