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Finding the Fourth Proportional to 262.41, 361.31 and 213.45

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Solution

The fourth proportional to 262.41, 361.31 and 213.45 is: 293.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 361.31 = 213.45 : x
  2. Step 2: Convert to fraction form
    262.41/361.31 = 213.45/x
  3. Step 3: Cross multiply
    262.41x = 361.31 × 213.45
  4. Step 4: Simplify right side
    262.41x = 77,120.55
  5. Step 5: Solve for x
    x = 77,120.55/262.41
  6. Step 6: Final answer
    x = 293.89

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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.