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Finding the Fourth Proportional to 195.70, 270.12 and 133.63

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Solution

The fourth proportional to 195.70, 270.12 and 133.63 is: 184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.70 : 270.12 = 133.63 : x
  2. Step 2: Convert to fraction form
    195.70/270.12 = 133.63/x
  3. Step 3: Cross multiply
    195.70x = 270.12 × 133.63
  4. Step 4: Simplify right side
    195.70x = 36,096.14
  5. Step 5: Solve for x
    x = 36,096.14/195.70
  6. Step 6: Final answer
    x = 184.45

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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.