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Finding the Fourth Proportional to 361.62, 542.43 and 178.89

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Solution

The fourth proportional to 361.62, 542.43 and 178.89 is: 268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.62 : 542.43 = 178.89 : x
  2. Step 2: Convert to fraction form
    361.62/542.43 = 178.89/x
  3. Step 3: Cross multiply
    361.62x = 542.43 × 178.89
  4. Step 4: Simplify right side
    361.62x = 97,035.30
  5. Step 5: Solve for x
    x = 97,035.30/361.62
  6. Step 6: Final answer
    x = 268.34

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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.