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Finding the Fourth Proportional to 375.18, 517.74 and 227.86

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Solution

The fourth proportional to 375.18, 517.74 and 227.86 is: 314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.18 : 517.74 = 227.86 : x
  2. Step 2: Convert to fraction form
    375.18/517.74 = 227.86/x
  3. Step 3: Cross multiply
    375.18x = 517.74 × 227.86
  4. Step 4: Simplify right side
    375.18x = 117,972.24
  5. Step 5: Solve for x
    x = 117,972.24/375.18
  6. Step 6: Final answer
    x = 314.44

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