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Finding the Fourth Proportional to 361.22, 498.49 and 195.44

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Solution

The fourth proportional to 361.22, 498.49 and 195.44 is: 269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 498.49 = 195.44 : x
  2. Step 2: Convert to fraction form
    361.22/498.49 = 195.44/x
  3. Step 3: Cross multiply
    361.22x = 498.49 × 195.44
  4. Step 4: Simplify right side
    361.22x = 97,421.54
  5. Step 5: Solve for x
    x = 97,421.54/361.22
  6. Step 6: Final answer
    x = 269.70

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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.