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Finding the Fourth Proportional to 361.20, 498.46 and 195.42

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Solution

The fourth proportional to 361.20, 498.46 and 195.42 is: 269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.20 : 498.46 = 195.42 : x
  2. Step 2: Convert to fraction form
    361.20/498.46 = 195.42/x
  3. Step 3: Cross multiply
    361.20x = 498.46 × 195.42
  4. Step 4: Simplify right side
    361.20x = 97,407.43
  5. Step 5: Solve for x
    x = 97,407.43/361.20
  6. Step 6: Final answer
    x = 269.67

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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.