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Finding the Fourth Proportional to 361.33, 542.02 and 142.06

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Solution

The fourth proportional to 361.33, 542.02 and 142.06 is: 213.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.33 : 542.02 = 142.06 : x
  2. Step 2: Convert to fraction form
    361.33/542.02 = 142.06/x
  3. Step 3: Cross multiply
    361.33x = 542.02 × 142.06
  4. Step 4: Simplify right side
    361.33x = 76,999.36
  5. Step 5: Solve for x
    x = 76,999.36/361.33
  6. Step 6: Final answer
    x = 213.10

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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.