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Finding the Fourth Proportional to 195.05, 269.24 and 117.43

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Solution

The fourth proportional to 195.05, 269.24 and 117.43 is: 162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.05 : 269.24 = 117.43 : x
  2. Step 2: Convert to fraction form
    195.05/269.24 = 117.43/x
  3. Step 3: Cross multiply
    195.05x = 269.24 × 117.43
  4. Step 4: Simplify right side
    195.05x = 31,615.59
  5. Step 5: Solve for x
    x = 31,615.59/195.05
  6. Step 6: Final answer
    x = 162.09

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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.