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Finding the Fourth Proportional to 312.81, 431.22 and 202.26

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Solution

The fourth proportional to 312.81, 431.22 and 202.26 is: 278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.81 : 431.22 = 202.26 : x
  2. Step 2: Convert to fraction form
    312.81/431.22 = 202.26/x
  3. Step 3: Cross multiply
    312.81x = 431.22 × 202.26
  4. Step 4: Simplify right side
    312.81x = 87,218.56
  5. Step 5: Solve for x
    x = 87,218.56/312.81
  6. Step 6: Final answer
    x = 278.82

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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.