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Finding the Fourth Proportional to 212.67, 318.92 and 75.69

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Solution

The fourth proportional to 212.67, 318.92 and 75.69 is: 113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.67 : 318.92 = 75.69 : x
  2. Step 2: Convert to fraction form
    212.67/318.92 = 75.69/x
  3. Step 3: Cross multiply
    212.67x = 318.92 × 75.69
  4. Step 4: Simplify right side
    212.67x = 24,139.24
  5. Step 5: Solve for x
    x = 24,139.24/212.67
  6. Step 6: Final answer
    x = 113.51

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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.