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Finding the Fourth Proportional to 361.46, 498.82 and 195.67

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Solution

The fourth proportional to 361.46, 498.82 and 195.67 is: 270.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 498.82 = 195.67 : x
  2. Step 2: Convert to fraction form
    361.46/498.82 = 195.67/x
  3. Step 3: Cross multiply
    361.46x = 498.82 × 195.67
  4. Step 4: Simplify right side
    361.46x = 97,604.50
  5. Step 5: Solve for x
    x = 97,604.50/361.46
  6. Step 6: Final answer
    x = 270.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.