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Finding the Fourth Proportional to 361.40, 541.62 and 178.84

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Solution

The fourth proportional to 361.40, 541.62 and 178.84 is: 268.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.40 : 541.62 = 178.84 : x
  2. Step 2: Convert to fraction form
    361.40/541.62 = 178.84/x
  3. Step 3: Cross multiply
    361.40x = 541.62 × 178.84
  4. Step 4: Simplify right side
    361.40x = 96,863.32
  5. Step 5: Solve for x
    x = 96,863.32/361.40
  6. Step 6: Final answer
    x = 268.02

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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.