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Finding the Fourth Proportional to 195.14, 292.17 and 129.99

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Solution

The fourth proportional to 195.14, 292.17 and 129.99 is: 194.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.14 : 292.17 = 129.99 : x
  2. Step 2: Convert to fraction form
    195.14/292.17 = 129.99/x
  3. Step 3: Cross multiply
    195.14x = 292.17 × 129.99
  4. Step 4: Simplify right side
    195.14x = 37,979.18
  5. Step 5: Solve for x
    x = 37,979.18/195.14
  6. Step 6: Final answer
    x = 194.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.