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Finding the Fourth Proportional to 361.23, 541.83 and 155.70

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Solution

The fourth proportional to 361.23, 541.83 and 155.70 is: 233.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.23 : 541.83 = 155.70 : x
  2. Step 2: Convert to fraction form
    361.23/541.83 = 155.70/x
  3. Step 3: Cross multiply
    361.23x = 541.83 × 155.70
  4. Step 4: Simplify right side
    361.23x = 84,362.93
  5. Step 5: Solve for x
    x = 84,362.93/361.23
  6. Step 6: Final answer
    x = 233.54

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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.