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Finding the Fourth Proportional to 361.92, 499.40 and 206.64

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Solution

The fourth proportional to 361.92, 499.40 and 206.64 is: 285.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.92 : 499.40 = 206.64 : x
  2. Step 2: Convert to fraction form
    361.92/499.40 = 206.64/x
  3. Step 3: Cross multiply
    361.92x = 499.40 × 206.64
  4. Step 4: Simplify right side
    361.92x = 103,196.02
  5. Step 5: Solve for x
    x = 103,196.02/361.92
  6. Step 6: Final answer
    x = 285.13

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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.