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Finding the Fourth Proportional to 262.64, 394.07 and 154.41

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Solution

The fourth proportional to 262.64, 394.07 and 154.41 is: 231.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.64 : 394.07 = 154.41 : x
  2. Step 2: Convert to fraction form
    262.64/394.07 = 154.41/x
  3. Step 3: Cross multiply
    262.64x = 394.07 × 154.41
  4. Step 4: Simplify right side
    262.64x = 60,846.10
  5. Step 5: Solve for x
    x = 60,846.10/262.64
  6. Step 6: Final answer
    x = 231.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.