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Finding the Fourth Proportional to 311.37, 429.60 and 200.80

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Solution

The fourth proportional to 311.37, 429.60 and 200.80 is: 277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.37 : 429.60 = 200.80 : x
  2. Step 2: Convert to fraction form
    311.37/429.60 = 200.80/x
  3. Step 3: Cross multiply
    311.37x = 429.60 × 200.80
  4. Step 4: Simplify right side
    311.37x = 86,263.68
  5. Step 5: Solve for x
    x = 86,263.68/311.37
  6. Step 6: Final answer
    x = 277.05

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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.