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Finding the Fourth Proportional to 213.12, 319.74 and 126.48

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Solution

The fourth proportional to 213.12, 319.74 and 126.48 is: 189.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 319.74 = 126.48 : x
  2. Step 2: Convert to fraction form
    213.12/319.74 = 126.48/x
  3. Step 3: Cross multiply
    213.12x = 319.74 × 126.48
  4. Step 4: Simplify right side
    213.12x = 40,440.72
  5. Step 5: Solve for x
    x = 40,440.72/213.12
  6. Step 6: Final answer
    x = 189.76

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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.