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Finding the Fourth Proportional to 375.86, 563.51 and 180.59

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Solution

The fourth proportional to 375.86, 563.51 and 180.59 is: 270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.86 : 563.51 = 180.59 : x
  2. Step 2: Convert to fraction form
    375.86/563.51 = 180.59/x
  3. Step 3: Cross multiply
    375.86x = 563.51 × 180.59
  4. Step 4: Simplify right side
    375.86x = 101,760.55
  5. Step 5: Solve for x
    x = 101,760.55/375.86
  6. Step 6: Final answer
    x = 270.74

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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.