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Finding the Fourth Proportional to 244.09, 365.41 and 161.67

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Solution

The fourth proportional to 244.09, 365.41 and 161.67 is: 242.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.09 : 365.41 = 161.67 : x
  2. Step 2: Convert to fraction form
    244.09/365.41 = 161.67/x
  3. Step 3: Cross multiply
    244.09x = 365.41 × 161.67
  4. Step 4: Simplify right side
    244.09x = 59,075.83
  5. Step 5: Solve for x
    x = 59,075.83/244.09
  6. Step 6: Final answer
    x = 242.02

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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.