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Finding the Fourth Proportional to 260.76, 390.62 and 182.67

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Solution

The fourth proportional to 260.76, 390.62 and 182.67 is: 273.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.76 : 390.62 = 182.67 : x
  2. Step 2: Convert to fraction form
    260.76/390.62 = 182.67/x
  3. Step 3: Cross multiply
    260.76x = 390.62 × 182.67
  4. Step 4: Simplify right side
    260.76x = 71,353.55
  5. Step 5: Solve for x
    x = 71,353.55/260.76
  6. Step 6: Final answer
    x = 273.63

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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.