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Finding the Fourth Proportional to 250.12, 344.26 and 213.16

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Solution

The fourth proportional to 250.12, 344.26 and 213.16 is: 293.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    250.12 : 344.26 = 213.16 : x
  2. Step 2: Convert to fraction form
    250.12/344.26 = 213.16/x
  3. Step 3: Cross multiply
    250.12x = 344.26 × 213.16
  4. Step 4: Simplify right side
    250.12x = 73,382.46
  5. Step 5: Solve for x
    x = 73,382.46/250.12
  6. Step 6: Final answer
    x = 293.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.