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Finding the Fourth Proportional to 195.96, 270.65 and 130.35

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Solution

The fourth proportional to 195.96, 270.65 and 130.35 is: 180.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.96 : 270.65 = 130.35 : x
  2. Step 2: Convert to fraction form
    195.96/270.65 = 130.35/x
  3. Step 3: Cross multiply
    195.96x = 270.65 × 130.35
  4. Step 4: Simplify right side
    195.96x = 35,279.23
  5. Step 5: Solve for x
    x = 35,279.23/195.96
  6. Step 6: Final answer
    x = 180.03

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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.