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Finding the Fourth Proportional to 205.70, 283.66 and 164.14

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Solution

The fourth proportional to 205.70, 283.66 and 164.14 is: 226.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.70 : 283.66 = 164.14 : x
  2. Step 2: Convert to fraction form
    205.70/283.66 = 164.14/x
  3. Step 3: Cross multiply
    205.70x = 283.66 × 164.14
  4. Step 4: Simplify right side
    205.70x = 46,558.83
  5. Step 5: Solve for x
    x = 46,558.83/205.70
  6. Step 6: Final answer
    x = 226.35

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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.