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Finding the Fourth Proportional to 195.62, 270.04 and 133.66

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Solution

The fourth proportional to 195.62, 270.04 and 133.66 is: 184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 270.04 = 133.66 : x
  2. Step 2: Convert to fraction form
    195.62/270.04 = 133.66/x
  3. Step 3: Cross multiply
    195.62x = 270.04 × 133.66
  4. Step 4: Simplify right side
    195.62x = 36,093.55
  5. Step 5: Solve for x
    x = 36,093.55/195.62
  6. Step 6: Final answer
    x = 184.51

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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.