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Finding the Fourth Proportional to 212.89, 319.29 and 75.91

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Solution

The fourth proportional to 212.89, 319.29 and 75.91 is: 113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.89 : 319.29 = 75.91 : x
  2. Step 2: Convert to fraction form
    212.89/319.29 = 75.91/x
  3. Step 3: Cross multiply
    212.89x = 319.29 × 75.91
  4. Step 4: Simplify right side
    212.89x = 24,237.30
  5. Step 5: Solve for x
    x = 24,237.30/212.89
  6. Step 6: Final answer
    x = 113.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.