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Finding the Fourth Proportional to 260.53, 391.07 and 123.69

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Solution

The fourth proportional to 260.53, 391.07 and 123.69 is: 185.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.53 : 391.07 = 123.69 : x
  2. Step 2: Convert to fraction form
    260.53/391.07 = 123.69/x
  3. Step 3: Cross multiply
    260.53x = 391.07 × 123.69
  4. Step 4: Simplify right side
    260.53x = 48,371.45
  5. Step 5: Solve for x
    x = 48,371.45/260.53
  6. Step 6: Final answer
    x = 185.67

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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.