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Finding the Fourth Proportional to 260.12, 389.90 and 130.20

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Solution

The fourth proportional to 260.12, 389.90 and 130.20 is: 195.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.12 : 389.90 = 130.20 : x
  2. Step 2: Convert to fraction form
    260.12/389.90 = 130.20/x
  3. Step 3: Cross multiply
    260.12x = 389.90 × 130.20
  4. Step 4: Simplify right side
    260.12x = 50,764.33
  5. Step 5: Solve for x
    x = 50,764.33/260.12
  6. Step 6: Final answer
    x = 195.16

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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.