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Finding the Fourth Proportional to 361.79, 542.81 and 166.83

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Solution

The fourth proportional to 361.79, 542.81 and 166.83 is: 250.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.79 : 542.81 = 166.83 : x
  2. Step 2: Convert to fraction form
    361.79/542.81 = 166.83/x
  3. Step 3: Cross multiply
    361.79x = 542.81 × 166.83
  4. Step 4: Simplify right side
    361.79x = 90,556.16
  5. Step 5: Solve for x
    x = 90,556.16/361.79
  6. Step 6: Final answer
    x = 250.30

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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.