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Finding the Fourth Proportional to 318.30, 439.02 and 201.75

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Solution

The fourth proportional to 318.30, 439.02 and 201.75 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.30 : 439.02 = 201.75 : x
  2. Step 2: Convert to fraction form
    318.30/439.02 = 201.75/x
  3. Step 3: Cross multiply
    318.30x = 439.02 × 201.75
  4. Step 4: Simplify right side
    318.30x = 88,572.29
  5. Step 5: Solve for x
    x = 88,572.29/318.30
  6. Step 6: Final answer
    x = 278.27

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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.