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Finding the Fourth Proportional to 361.67, 542.36 and 130.48

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Solution

The fourth proportional to 361.67, 542.36 and 130.48 is: 195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.67 : 542.36 = 130.48 : x
  2. Step 2: Convert to fraction form
    361.67/542.36 = 130.48/x
  3. Step 3: Cross multiply
    361.67x = 542.36 × 130.48
  4. Step 4: Simplify right side
    361.67x = 70,764.09
  5. Step 5: Solve for x
    x = 70,764.09/361.67
  6. Step 6: Final answer
    x = 195.66

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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.