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Finding the Fourth Proportional to 212.90, 295.11 and 200.75

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Solution

The fourth proportional to 212.90, 295.11 and 200.75 is: 278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.90 : 295.11 = 200.75 : x
  2. Step 2: Convert to fraction form
    212.90/295.11 = 200.75/x
  3. Step 3: Cross multiply
    212.90x = 295.11 × 200.75
  4. Step 4: Simplify right side
    212.90x = 59,241.86
  5. Step 5: Solve for x
    x = 59,241.86/212.90
  6. Step 6: Final answer
    x = 278.27

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.