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Finding the Fourth Proportional to 318.74, 439.85 and 200.84

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Solution

The fourth proportional to 318.74, 439.85 and 200.84 is: 277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.74 : 439.85 = 200.84 : x
  2. Step 2: Convert to fraction form
    318.74/439.85 = 200.84/x
  3. Step 3: Cross multiply
    318.74x = 439.85 × 200.84
  4. Step 4: Simplify right side
    318.74x = 88,336.27
  5. Step 5: Solve for x
    x = 88,336.27/318.74
  6. Step 6: Final answer
    x = 277.14

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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.