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Finding the Fourth Proportional to 195.38, 269.64 and 164.24

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Solution

The fourth proportional to 195.38, 269.64 and 164.24 is: 226.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.38 : 269.64 = 164.24 : x
  2. Step 2: Convert to fraction form
    195.38/269.64 = 164.24/x
  3. Step 3: Cross multiply
    195.38x = 269.64 × 164.24
  4. Step 4: Simplify right side
    195.38x = 44,285.67
  5. Step 5: Solve for x
    x = 44,285.67/195.38
  6. Step 6: Final answer
    x = 226.66

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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.