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Finding the Fourth Proportional to 260.78, 391.46 and 139.01

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Solution

The fourth proportional to 260.78, 391.46 and 139.01 is: 208.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 391.46 = 139.01 : x
  2. Step 2: Convert to fraction form
    260.78/391.46 = 139.01/x
  3. Step 3: Cross multiply
    260.78x = 391.46 × 139.01
  4. Step 4: Simplify right side
    260.78x = 54,414.20
  5. Step 5: Solve for x
    x = 54,414.20/260.78
  6. Step 6: Final answer
    x = 208.66

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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.