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Finding the Fourth Proportional to 195.60, 293.37 and 137.64

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Solution

The fourth proportional to 195.60, 293.37 and 137.64 is: 206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 293.37 = 137.64 : x
  2. Step 2: Convert to fraction form
    195.60/293.37 = 137.64/x
  3. Step 3: Cross multiply
    195.60x = 293.37 × 137.64
  4. Step 4: Simplify right side
    195.60x = 40,379.45
  5. Step 5: Solve for x
    x = 40,379.45/195.60
  6. Step 6: Final answer
    x = 206.44

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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.