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Finding the Fourth Proportional to 195.90, 270.63 and 144.78

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Solution

The fourth proportional to 195.90, 270.63 and 144.78 is: 200.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.90 : 270.63 = 144.78 : x
  2. Step 2: Convert to fraction form
    195.90/270.63 = 144.78/x
  3. Step 3: Cross multiply
    195.90x = 270.63 × 144.78
  4. Step 4: Simplify right side
    195.90x = 39,181.81
  5. Step 5: Solve for x
    x = 39,181.81/195.90
  6. Step 6: Final answer
    x = 200.01

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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.