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Finding the Fourth Proportional to 195.81, 293.82 and 134.40

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Solution

The fourth proportional to 195.81, 293.82 and 134.40 is: 201.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.81 : 293.82 = 134.40 : x
  2. Step 2: Convert to fraction form
    195.81/293.82 = 134.40/x
  3. Step 3: Cross multiply
    195.81x = 293.82 × 134.40
  4. Step 4: Simplify right side
    195.81x = 39,489.41
  5. Step 5: Solve for x
    x = 39,489.41/195.81
  6. Step 6: Final answer
    x = 201.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.