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Finding the Fourth Proportional to 195.36, 269.64 and 129.84

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Solution

The fourth proportional to 195.36, 269.64 and 129.84 is: 179.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.36 : 269.64 = 129.84 : x
  2. Step 2: Convert to fraction form
    195.36/269.64 = 129.84/x
  3. Step 3: Cross multiply
    195.36x = 269.64 × 129.84
  4. Step 4: Simplify right side
    195.36x = 35,010.06
  5. Step 5: Solve for x
    x = 35,010.06/195.36
  6. Step 6: Final answer
    x = 179.21

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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.