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Finding the Fourth Proportional to 195.14, 269.30 and 129.77

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Solution

The fourth proportional to 195.14, 269.30 and 129.77 is: 179.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 269.30 = 129.77 : x
  2. Step 2: Convert to fraction form
    195.14/269.30 = 129.77/x
  3. Step 3: Cross multiply
    195.14x = 269.30 × 129.77
  4. Step 4: Simplify right side
    195.14x = 34,945.07
  5. Step 5: Solve for x
    x = 34,945.07/195.14
  6. Step 6: Final answer
    x = 179.08

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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.