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Finding the Fourth Proportional to 260.84, 391.03 and 138.99

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Solution

The fourth proportional to 260.84, 391.03 and 138.99 is: 208.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.84 : 391.03 = 138.99 : x
  2. Step 2: Convert to fraction form
    260.84/391.03 = 138.99/x
  3. Step 3: Cross multiply
    260.84x = 391.03 × 138.99
  4. Step 4: Simplify right side
    260.84x = 54,347.97
  5. Step 5: Solve for x
    x = 54,347.97/260.84
  6. Step 6: Final answer
    x = 208.36

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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.