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Finding the Fourth Proportional to 375.04, 517.38 and 227.68

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Solution

The fourth proportional to 375.04, 517.38 and 227.68 is: 314.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.04 : 517.38 = 227.68 : x
  2. Step 2: Convert to fraction form
    375.04/517.38 = 227.68/x
  3. Step 3: Cross multiply
    375.04x = 517.38 × 227.68
  4. Step 4: Simplify right side
    375.04x = 117,797.08
  5. Step 5: Solve for x
    x = 117,797.08/375.04
  6. Step 6: Final answer
    x = 314.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.