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Finding the Fourth Proportional to 260.00, 389.75 and 105.89

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Solution

The fourth proportional to 260.00, 389.75 and 105.89 is: 158.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.00 : 389.75 = 105.89 : x
  2. Step 2: Convert to fraction form
    260.00/389.75 = 105.89/x
  3. Step 3: Cross multiply
    260.00x = 389.75 × 105.89
  4. Step 4: Simplify right side
    260.00x = 41,270.63
  5. Step 5: Solve for x
    x = 41,270.63/260.00
  6. Step 6: Final answer
    x = 158.74

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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.