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Finding the Fourth Proportional to 361.67, 499.14 and 204.28

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Solution

The fourth proportional to 361.67, 499.14 and 204.28 is: 281.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 499.14 = 204.28 : x
  2. Step 2: Convert to fraction form
    361.67/499.14 = 204.28/x
  3. Step 3: Cross multiply
    361.67x = 499.14 × 204.28
  4. Step 4: Simplify right side
    361.67x = 101,966.01
  5. Step 5: Solve for x
    x = 101,966.01/361.67
  6. Step 6: Final answer
    x = 281.93

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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.