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Finding the Fourth Proportional to 375.15, 517.65 and 227.76

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Solution

The fourth proportional to 375.15, 517.65 and 227.76 is: 314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.15 : 517.65 = 227.76 : x
  2. Step 2: Convert to fraction form
    375.15/517.65 = 227.76/x
  3. Step 3: Cross multiply
    375.15x = 517.65 × 227.76
  4. Step 4: Simplify right side
    375.15x = 117,899.96
  5. Step 5: Solve for x
    x = 117,899.96/375.15
  6. Step 6: Final answer
    x = 314.27

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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.