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Finding the Fourth Proportional to 376.05, 563.85 and 180.81

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Solution

The fourth proportional to 376.05, 563.85 and 180.81 is: 271.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.05 : 563.85 = 180.81 : x
  2. Step 2: Convert to fraction form
    376.05/563.85 = 180.81/x
  3. Step 3: Cross multiply
    376.05x = 563.85 × 180.81
  4. Step 4: Simplify right side
    376.05x = 101,949.72
  5. Step 5: Solve for x
    x = 101,949.72/376.05
  6. Step 6: Final answer
    x = 271.11

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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.