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Finding the Fourth Proportional to 212.67, 319.03 and 75.69

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Solution

The fourth proportional to 212.67, 319.03 and 75.69 is: 113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.67 : 319.03 = 75.69 : x
  2. Step 2: Convert to fraction form
    212.67/319.03 = 75.69/x
  3. Step 3: Cross multiply
    212.67x = 319.03 × 75.69
  4. Step 4: Simplify right side
    212.67x = 24,147.38
  5. Step 5: Solve for x
    x = 24,147.38/212.67
  6. Step 6: Final answer
    x = 113.54

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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.