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Finding the Fourth Proportional to 205.83, 283.34 and 164.07

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Solution

The fourth proportional to 205.83, 283.34 and 164.07 is: 225.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.83 : 283.34 = 164.07 : x
  2. Step 2: Convert to fraction form
    205.83/283.34 = 164.07/x
  3. Step 3: Cross multiply
    205.83x = 283.34 × 164.07
  4. Step 4: Simplify right side
    205.83x = 46,486.77
  5. Step 5: Solve for x
    x = 46,486.77/205.83
  6. Step 6: Final answer
    x = 225.85

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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.