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Finding the Fourth Proportional to 260.04, 389.74 and 105.88

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Solution

The fourth proportional to 260.04, 389.74 and 105.88 is: 158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.04 : 389.74 = 105.88 : x
  2. Step 2: Convert to fraction form
    260.04/389.74 = 105.88/x
  3. Step 3: Cross multiply
    260.04x = 389.74 × 105.88
  4. Step 4: Simplify right side
    260.04x = 41,265.67
  5. Step 5: Solve for x
    x = 41,265.67/260.04
  6. Step 6: Final answer
    x = 158.69

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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.