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Finding the Fourth Proportional to 318.54, 439.79 and 200.68

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Solution

The fourth proportional to 318.54, 439.79 and 200.68 is: 277.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.54 : 439.79 = 200.68 : x
  2. Step 2: Convert to fraction form
    318.54/439.79 = 200.68/x
  3. Step 3: Cross multiply
    318.54x = 439.79 × 200.68
  4. Step 4: Simplify right side
    318.54x = 88,257.06
  5. Step 5: Solve for x
    x = 88,257.06/318.54
  6. Step 6: Final answer
    x = 277.07

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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.