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Finding the Fourth Proportional to 361.20, 541.74 and 155.80

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Solution

The fourth proportional to 361.20, 541.74 and 155.80 is: 233.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.20 : 541.74 = 155.80 : x
  2. Step 2: Convert to fraction form
    361.20/541.74 = 155.80/x
  3. Step 3: Cross multiply
    361.20x = 541.74 × 155.80
  4. Step 4: Simplify right side
    361.20x = 84,403.09
  5. Step 5: Solve for x
    x = 84,403.09/361.20
  6. Step 6: Final answer
    x = 233.67

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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.