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Finding the Fourth Proportional to 212.77, 319.15 and 75.82

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Solution

The fourth proportional to 212.77, 319.15 and 75.82 is: 113.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.77 : 319.15 = 75.82 : x
  2. Step 2: Convert to fraction form
    212.77/319.15 = 75.82/x
  3. Step 3: Cross multiply
    212.77x = 319.15 × 75.82
  4. Step 4: Simplify right side
    212.77x = 24,197.57
  5. Step 5: Solve for x
    x = 24,197.57/212.77
  6. Step 6: Final answer
    x = 113.73

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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.