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Finding the Fourth Proportional to 205.83, 283.95 and 162.09

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Solution

The fourth proportional to 205.83, 283.95 and 162.09 is: 223.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 283.95 = 162.09 : x
  2. Step 2: Convert to fraction form
    205.83/283.95 = 162.09/x
  3. Step 3: Cross multiply
    205.83x = 283.95 × 162.09
  4. Step 4: Simplify right side
    205.83x = 46,025.46
  5. Step 5: Solve for x
    x = 46,025.46/205.83
  6. Step 6: Final answer
    x = 223.61

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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.