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Finding the Fourth Proportional to 195.62, 293.61 and 104.38

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Solution

The fourth proportional to 195.62, 293.61 and 104.38 is: 156.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.62 : 293.61 = 104.38 : x
  2. Step 2: Convert to fraction form
    195.62/293.61 = 104.38/x
  3. Step 3: Cross multiply
    195.62x = 293.61 × 104.38
  4. Step 4: Simplify right side
    195.62x = 30,646.11
  5. Step 5: Solve for x
    x = 30,646.11/195.62
  6. Step 6: Final answer
    x = 156.67

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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.