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Finding the Fourth Proportional to 260.07, 389.82 and 144.27

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Solution

The fourth proportional to 260.07, 389.82 and 144.27 is: 216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.07 : 389.82 = 144.27 : x
  2. Step 2: Convert to fraction form
    260.07/389.82 = 144.27/x
  3. Step 3: Cross multiply
    260.07x = 389.82 × 144.27
  4. Step 4: Simplify right side
    260.07x = 56,239.33
  5. Step 5: Solve for x
    x = 56,239.33/260.07
  6. Step 6: Final answer
    x = 216.25

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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.