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Finding the Fourth Proportional to 206.83, 284.71 and 165.07

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Solution

The fourth proportional to 206.83, 284.71 and 165.07 is: 227.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.83 : 284.71 = 165.07 : x
  2. Step 2: Convert to fraction form
    206.83/284.71 = 165.07/x
  3. Step 3: Cross multiply
    206.83x = 284.71 × 165.07
  4. Step 4: Simplify right side
    206.83x = 46,997.08
  5. Step 5: Solve for x
    x = 46,997.08/206.83
  6. Step 6: Final answer
    x = 227.23

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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.