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Finding the Fourth Proportional to 361.59, 541.71 and 178.95

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Solution

The fourth proportional to 361.59, 541.71 and 178.95 is: 268.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.59 : 541.71 = 178.95 : x
  2. Step 2: Convert to fraction form
    361.59/541.71 = 178.95/x
  3. Step 3: Cross multiply
    361.59x = 541.71 × 178.95
  4. Step 4: Simplify right side
    361.59x = 96,939.00
  5. Step 5: Solve for x
    x = 96,939.00/361.59
  6. Step 6: Final answer
    x = 268.09

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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.