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Finding the Fourth Proportional to 361.46, 498.81 and 204.11

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Solution

The fourth proportional to 361.46, 498.81 and 204.11 is: 281.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 498.81 = 204.11 : x
  2. Step 2: Convert to fraction form
    361.46/498.81 = 204.11/x
  3. Step 3: Cross multiply
    361.46x = 498.81 × 204.11
  4. Step 4: Simplify right side
    361.46x = 101,809.62
  5. Step 5: Solve for x
    x = 101,809.62/361.46
  6. Step 6: Final answer
    x = 281.67

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