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Finding the Fourth Proportional to 361.58, 541.86 and 178.78

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Solution

The fourth proportional to 361.58, 541.86 and 178.78 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.58 : 541.86 = 178.78 : x
  2. Step 2: Convert to fraction form
    361.58/541.86 = 178.78/x
  3. Step 3: Cross multiply
    361.58x = 541.86 × 178.78
  4. Step 4: Simplify right side
    361.58x = 96,871.02
  5. Step 5: Solve for x
    x = 96,871.02/361.58
  6. Step 6: Final answer
    x = 267.91

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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.