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Finding the Fourth Proportional to 265.87, 399.41 and 241.67

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Solution

The fourth proportional to 265.87, 399.41 and 241.67 is: 363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.87 : 399.41 = 241.67 : x
  2. Step 2: Convert to fraction form
    265.87/399.41 = 241.67/x
  3. Step 3: Cross multiply
    265.87x = 399.41 × 241.67
  4. Step 4: Simplify right side
    265.87x = 96,525.41
  5. Step 5: Solve for x
    x = 96,525.41/265.87
  6. Step 6: Final answer
    x = 363.05

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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.