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Finding the Fourth Proportional to 195.43, 293.26 and 180.40

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Solution

The fourth proportional to 195.43, 293.26 and 180.40 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.43 : 293.26 = 180.40 : x
  2. Step 2: Convert to fraction form
    195.43/293.26 = 180.40/x
  3. Step 3: Cross multiply
    195.43x = 293.26 × 180.40
  4. Step 4: Simplify right side
    195.43x = 52,902.64
  5. Step 5: Solve for x
    x = 52,902.64/195.43
  6. Step 6: Final answer
    x = 270.70

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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.