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Finding the Fourth Proportional to 361.24, 541.92 and 178.76

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Solution

The fourth proportional to 361.24, 541.92 and 178.76 is: 268.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.24 : 541.92 = 178.76 : x
  2. Step 2: Convert to fraction form
    361.24/541.92 = 178.76/x
  3. Step 3: Cross multiply
    361.24x = 541.92 × 178.76
  4. Step 4: Simplify right side
    361.24x = 96,873.62
  5. Step 5: Solve for x
    x = 96,873.62/361.24
  6. Step 6: Final answer
    x = 268.17

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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.