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Finding the Fourth Proportional to 195.06, 269.27 and 129.45

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Solution

The fourth proportional to 195.06, 269.27 and 129.45 is: 178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 269.27 = 129.45 : x
  2. Step 2: Convert to fraction form
    195.06/269.27 = 129.45/x
  3. Step 3: Cross multiply
    195.06x = 269.27 × 129.45
  4. Step 4: Simplify right side
    195.06x = 34,857.00
  5. Step 5: Solve for x
    x = 34,857.00/195.06
  6. Step 6: Final answer
    x = 178.70

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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.