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Finding the Fourth Proportional to 361.84, 499.33 and 204.47

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Solution

The fourth proportional to 361.84, 499.33 and 204.47 is: 282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.84 : 499.33 = 204.47 : x
  2. Step 2: Convert to fraction form
    361.84/499.33 = 204.47/x
  3. Step 3: Cross multiply
    361.84x = 499.33 × 204.47
  4. Step 4: Simplify right side
    361.84x = 102,096.98
  5. Step 5: Solve for x
    x = 102,096.98/361.84
  6. Step 6: Final answer
    x = 282.16

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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.