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Finding the Fourth Proportional to 376.03, 563.49 and 180.94

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Solution

The fourth proportional to 376.03, 563.49 and 180.94 is: 271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376.03 : 563.49 = 180.94 : x
  2. Step 2: Convert to fraction form
    376.03/563.49 = 180.94/x
  3. Step 3: Cross multiply
    376.03x = 563.49 × 180.94
  4. Step 4: Simplify right side
    376.03x = 101,957.88
  5. Step 5: Solve for x
    x = 101,957.88/376.03
  6. Step 6: Final answer
    x = 271.14

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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.