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Finding the Fourth Proportional to 361.89, 542.82 and 105.39

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Solution

The fourth proportional to 361.89, 542.82 and 105.39 is: 158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.89 : 542.82 = 105.39 : x
  2. Step 2: Convert to fraction form
    361.89/542.82 = 105.39/x
  3. Step 3: Cross multiply
    361.89x = 542.82 × 105.39
  4. Step 4: Simplify right side
    361.89x = 57,207.80
  5. Step 5: Solve for x
    x = 57,207.80/361.89
  6. Step 6: Final answer
    x = 158.08

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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.