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Finding the Fourth Proportional to 361.28, 541.64 and 166.41

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Solution

The fourth proportional to 361.28, 541.64 and 166.41 is: 249.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.28 : 541.64 = 166.41 : x
  2. Step 2: Convert to fraction form
    361.28/541.64 = 166.41/x
  3. Step 3: Cross multiply
    361.28x = 541.64 × 166.41
  4. Step 4: Simplify right side
    361.28x = 90,130.77
  5. Step 5: Solve for x
    x = 90,130.77/361.28
  6. Step 6: Final answer
    x = 249.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.