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Finding the Fourth Proportional to 375.99, 563.57 and 180.71

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Solution

The fourth proportional to 375.99, 563.57 and 180.71 is: 270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.99 : 563.57 = 180.71 : x
  2. Step 2: Convert to fraction form
    375.99/563.57 = 180.71/x
  3. Step 3: Cross multiply
    375.99x = 563.57 × 180.71
  4. Step 4: Simplify right side
    375.99x = 101,842.73
  5. Step 5: Solve for x
    x = 101,842.73/375.99
  6. Step 6: Final answer
    x = 270.87

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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.