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Finding the Fourth Proportional to 212.81, 293.69 and 203.09

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Solution

The fourth proportional to 212.81, 293.69 and 203.09 is: 280.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.81 : 293.69 = 203.09 : x
  2. Step 2: Convert to fraction form
    212.81/293.69 = 203.09/x
  3. Step 3: Cross multiply
    212.81x = 293.69 × 203.09
  4. Step 4: Simplify right side
    212.81x = 59,644.49
  5. Step 5: Solve for x
    x = 59,644.49/212.81
  6. Step 6: Final answer
    x = 280.27

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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.