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Finding the Fourth Proportional to 212.67, 319.02 and 75.72

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Solution

The fourth proportional to 212.67, 319.02 and 75.72 is: 113.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.67 : 319.02 = 75.72 : x
  2. Step 2: Convert to fraction form
    212.67/319.02 = 75.72/x
  3. Step 3: Cross multiply
    212.67x = 319.02 × 75.72
  4. Step 4: Simplify right side
    212.67x = 24,157.11
  5. Step 5: Solve for x
    x = 24,157.11/212.67
  6. Step 6: Final answer
    x = 113.59

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Why These Related Problems?

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