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Finding the Fourth Proportional to 260.14, 389.94 and 199.48

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Solution

The fourth proportional to 260.14, 389.94 and 199.48 is: 299.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.14 : 389.94 = 199.48 : x
  2. Step 2: Convert to fraction form
    260.14/389.94 = 199.48/x
  3. Step 3: Cross multiply
    260.14x = 389.94 × 199.48
  4. Step 4: Simplify right side
    260.14x = 77,785.23
  5. Step 5: Solve for x
    x = 77,785.23/260.14
  6. Step 6: Final answer
    x = 299.01

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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.