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Finding the Fourth Proportional to 361.46, 541.92 and 178.94

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Solution

The fourth proportional to 361.46, 541.92 and 178.94 is: 268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.46 : 541.92 = 178.94 : x
  2. Step 2: Convert to fraction form
    361.46/541.92 = 178.94/x
  3. Step 3: Cross multiply
    361.46x = 541.92 × 178.94
  4. Step 4: Simplify right side
    361.46x = 96,971.16
  5. Step 5: Solve for x
    x = 96,971.16/361.46
  6. Step 6: Final answer
    x = 268.28

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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.