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Finding the Fourth Proportional to 260.18, 390.44 and 106.23

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Solution

The fourth proportional to 260.18, 390.44 and 106.23 is: 159.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.18 : 390.44 = 106.23 : x
  2. Step 2: Convert to fraction form
    260.18/390.44 = 106.23/x
  3. Step 3: Cross multiply
    260.18x = 390.44 × 106.23
  4. Step 4: Simplify right side
    260.18x = 41,476.44
  5. Step 5: Solve for x
    x = 41,476.44/260.18
  6. Step 6: Final answer
    x = 159.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.