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Finding the Fourth Proportional to 311.10, 429.08 and 200.60

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Solution

The fourth proportional to 311.10, 429.08 and 200.60 is: 276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.10 : 429.08 = 200.60 : x
  2. Step 2: Convert to fraction form
    311.10/429.08 = 200.60/x
  3. Step 3: Cross multiply
    311.10x = 429.08 × 200.60
  4. Step 4: Simplify right side
    311.10x = 86,073.45
  5. Step 5: Solve for x
    x = 86,073.45/311.10
  6. Step 6: Final answer
    x = 276.67

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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.