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Finding the Fourth Proportional to 195.30, 269.51 and 129.74

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Solution

The fourth proportional to 195.30, 269.51 and 129.74 is: 179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.30 : 269.51 = 129.74 : x
  2. Step 2: Convert to fraction form
    195.30/269.51 = 129.74/x
  3. Step 3: Cross multiply
    195.30x = 269.51 × 129.74
  4. Step 4: Simplify right side
    195.30x = 34,964.23
  5. Step 5: Solve for x
    x = 34,964.23/195.30
  6. Step 6: Final answer
    x = 179.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.