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Finding the Fourth Proportional to 318.78, 439.83 and 202.41

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Solution

The fourth proportional to 318.78, 439.83 and 202.41 is: 279.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.78 : 439.83 = 202.41 : x
  2. Step 2: Convert to fraction form
    318.78/439.83 = 202.41/x
  3. Step 3: Cross multiply
    318.78x = 439.83 × 202.41
  4. Step 4: Simplify right side
    318.78x = 89,025.99
  5. Step 5: Solve for x
    x = 89,025.99/318.78
  6. Step 6: Final answer
    x = 279.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.