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Finding the Fourth Proportional to 195.62, 270.03 and 130.01

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Solution

The fourth proportional to 195.62, 270.03 and 130.01 is: 179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 270.03 = 130.01 : x
  2. Step 2: Convert to fraction form
    195.62/270.03 = 130.01/x
  3. Step 3: Cross multiply
    195.62x = 270.03 × 130.01
  4. Step 4: Simplify right side
    195.62x = 35,105.74
  5. Step 5: Solve for x
    x = 35,105.74/195.62
  6. Step 6: Final answer
    x = 179.46

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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.