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Finding the Fourth Proportional to 361.80, 542.79 and 156.26

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Solution

The fourth proportional to 361.80, 542.79 and 156.26 is: 234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.80 : 542.79 = 156.26 : x
  2. Step 2: Convert to fraction form
    361.80/542.79 = 156.26/x
  3. Step 3: Cross multiply
    361.80x = 542.79 × 156.26
  4. Step 4: Simplify right side
    361.80x = 84,817.72
  5. Step 5: Solve for x
    x = 84,817.72/361.80
  6. Step 6: Final answer
    x = 234.43

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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.