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Finding the Fourth Proportional to 212.96, 319.44 and 159.23

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Solution

The fourth proportional to 212.96, 319.44 and 159.23 is: 238.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.96 : 319.44 = 159.23 : x
  2. Step 2: Convert to fraction form
    212.96/319.44 = 159.23/x
  3. Step 3: Cross multiply
    212.96x = 319.44 × 159.23
  4. Step 4: Simplify right side
    212.96x = 50,865.83
  5. Step 5: Solve for x
    x = 50,865.83/212.96
  6. Step 6: Final answer
    x = 238.85

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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.