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Finding the Fourth Proportional to 206.41, 284.83 and 119.06

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Solution

The fourth proportional to 206.41, 284.83 and 119.06 is: 164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.41 : 284.83 = 119.06 : x
  2. Step 2: Convert to fraction form
    206.41/284.83 = 119.06/x
  3. Step 3: Cross multiply
    206.41x = 284.83 × 119.06
  4. Step 4: Simplify right side
    206.41x = 33,911.86
  5. Step 5: Solve for x
    x = 33,911.86/206.41
  6. Step 6: Final answer
    x = 164.29

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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.