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Finding the Fourth Proportional to 195.44, 269.34 and 146.22

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Solution

The fourth proportional to 195.44, 269.34 and 146.22 is: 201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 269.34 = 146.22 : x
  2. Step 2: Convert to fraction form
    195.44/269.34 = 146.22/x
  3. Step 3: Cross multiply
    195.44x = 269.34 × 146.22
  4. Step 4: Simplify right side
    195.44x = 39,382.89
  5. Step 5: Solve for x
    x = 39,382.89/195.44
  6. Step 6: Final answer
    x = 201.51

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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.