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Finding the Fourth Proportional to 361.26, 498.54 and 206

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Solution

The fourth proportional to 361.26, 498.54 and 206 is: 284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.26 : 498.54 = 206 : x
  2. Step 2: Convert to fraction form
    361.26/498.54 = 206/x
  3. Step 3: Cross multiply
    361.26x = 498.54 × 206
  4. Step 4: Simplify right side
    361.26x = 102,699.24
  5. Step 5: Solve for x
    x = 102,699.24/361.26
  6. Step 6: Final answer
    x = 284.28

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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.