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Finding the Fourth Proportional to 375.41, 562.92 and 169.88

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Solution

The fourth proportional to 375.41, 562.92 and 169.88 is: 254.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.41 : 562.92 = 169.88 : x
  2. Step 2: Convert to fraction form
    375.41/562.92 = 169.88/x
  3. Step 3: Cross multiply
    375.41x = 562.92 × 169.88
  4. Step 4: Simplify right side
    375.41x = 95,628.85
  5. Step 5: Solve for x
    x = 95,628.85/375.41
  6. Step 6: Final answer
    x = 254.73

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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.