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Finding the Fourth Proportional to 260.36, 391.11 and 157.70

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Solution

The fourth proportional to 260.36, 391.11 and 157.70 is: 236.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 391.11 = 157.70 : x
  2. Step 2: Convert to fraction form
    260.36/391.11 = 157.70/x
  3. Step 3: Cross multiply
    260.36x = 391.11 × 157.70
  4. Step 4: Simplify right side
    260.36x = 61,676.09
  5. Step 5: Solve for x
    x = 61,676.09/260.36
  6. Step 6: Final answer
    x = 236.89

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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.