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Finding the Fourth Proportional to 195.81, 270.06 and 133.58

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Solution

The fourth proportional to 195.81, 270.06 and 133.58 is: 184.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 270.06 = 133.58 : x
  2. Step 2: Convert to fraction form
    195.81/270.06 = 133.58/x
  3. Step 3: Cross multiply
    195.81x = 270.06 × 133.58
  4. Step 4: Simplify right side
    195.81x = 36,074.27
  5. Step 5: Solve for x
    x = 36,074.27/195.81
  6. Step 6: Final answer
    x = 184.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.