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Finding the Fourth Proportional to 375.94, 563.57 and 180.82

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Solution

The fourth proportional to 375.94, 563.57 and 180.82 is: 271.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.94 : 563.57 = 180.82 : x
  2. Step 2: Convert to fraction form
    375.94/563.57 = 180.82/x
  3. Step 3: Cross multiply
    375.94x = 563.57 × 180.82
  4. Step 4: Simplify right side
    375.94x = 101,904.73
  5. Step 5: Solve for x
    x = 101,904.73/375.94
  6. Step 6: Final answer
    x = 271.07

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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.