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Finding the Fourth Proportional to 361.98, 542.50 and 156.51

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Solution

The fourth proportional to 361.98, 542.50 and 156.51 is: 234.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 542.50 = 156.51 : x
  2. Step 2: Convert to fraction form
    361.98/542.50 = 156.51/x
  3. Step 3: Cross multiply
    361.98x = 542.50 × 156.51
  4. Step 4: Simplify right side
    361.98x = 84,906.68
  5. Step 5: Solve for x
    x = 84,906.68/361.98
  6. Step 6: Final answer
    x = 234.56

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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.