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Finding the Fourth Proportional to 262.40, 361.92 and 204.16

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Solution

The fourth proportional to 262.40, 361.92 and 204.16 is: 281.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.40 : 361.92 = 204.16 : x
  2. Step 2: Convert to fraction form
    262.40/361.92 = 204.16/x
  3. Step 3: Cross multiply
    262.40x = 361.92 × 204.16
  4. Step 4: Simplify right side
    262.40x = 73,889.59
  5. Step 5: Solve for x
    x = 73,889.59/262.40
  6. Step 6: Final answer
    x = 281.59

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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.