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Finding the Fourth Proportional to 361.98, 542.99 and 234.54

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Solution

The fourth proportional to 361.98, 542.99 and 234.54 is: 351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.98 : 542.99 = 234.54 : x
  2. Step 2: Convert to fraction form
    361.98/542.99 = 234.54/x
  3. Step 3: Cross multiply
    361.98x = 542.99 × 234.54
  4. Step 4: Simplify right side
    361.98x = 127,352.87
  5. Step 5: Solve for x
    x = 127,352.87/361.98
  6. Step 6: Final answer
    x = 351.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.