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Finding the Fourth Proportional to 318.37, 439.33 and 200.46

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Solution

The fourth proportional to 318.37, 439.33 and 200.46 is: 276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.37 : 439.33 = 200.46 : x
  2. Step 2: Convert to fraction form
    318.37/439.33 = 200.46/x
  3. Step 3: Cross multiply
    318.37x = 439.33 × 200.46
  4. Step 4: Simplify right side
    318.37x = 88,068.09
  5. Step 5: Solve for x
    x = 88,068.09/318.37
  6. Step 6: Final answer
    x = 276.62

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Why These Related Problems?

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