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Finding the Fourth Proportional to 195.79, 269.71 and 164.70

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Solution

The fourth proportional to 195.79, 269.71 and 164.70 is: 226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.79 : 269.71 = 164.70 : x
  2. Step 2: Convert to fraction form
    195.79/269.71 = 164.70/x
  3. Step 3: Cross multiply
    195.79x = 269.71 × 164.70
  4. Step 4: Simplify right side
    195.79x = 44,421.24
  5. Step 5: Solve for x
    x = 44,421.24/195.79
  6. Step 6: Final answer
    x = 226.89

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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.