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Finding the Fourth Proportional to 318.21, 439.02 and 200.13

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Solution

The fourth proportional to 318.21, 439.02 and 200.13 is: 276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.21 : 439.02 = 200.13 : x
  2. Step 2: Convert to fraction form
    318.21/439.02 = 200.13/x
  3. Step 3: Cross multiply
    318.21x = 439.02 × 200.13
  4. Step 4: Simplify right side
    318.21x = 87,861.07
  5. Step 5: Solve for x
    x = 87,861.07/318.21
  6. Step 6: Final answer
    x = 276.11

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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.