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Finding the Fourth Proportional to 213.12, 319.16 and 126.26

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Solution

The fourth proportional to 213.12, 319.16 and 126.26 is: 189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.12 : 319.16 = 126.26 : x
  2. Step 2: Convert to fraction form
    213.12/319.16 = 126.26/x
  3. Step 3: Cross multiply
    213.12x = 319.16 × 126.26
  4. Step 4: Simplify right side
    213.12x = 40,297.14
  5. Step 5: Solve for x
    x = 40,297.14/213.12
  6. Step 6: Final answer
    x = 189.08

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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.