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Finding the Fourth Proportional to 260.11, 389.97 and 123.08

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Solution

The fourth proportional to 260.11, 389.97 and 123.08 is: 184.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.11 : 389.97 = 123.08 : x
  2. Step 2: Convert to fraction form
    260.11/389.97 = 123.08/x
  3. Step 3: Cross multiply
    260.11x = 389.97 × 123.08
  4. Step 4: Simplify right side
    260.11x = 47,995.56
  5. Step 5: Solve for x
    x = 47,995.56/260.11
  6. Step 6: Final answer
    x = 184.52

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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.