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Finding the Fourth Proportional to 252.90, 380.16 and 227.34

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Solution

The fourth proportional to 252.90, 380.16 and 227.34 is: 341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.90 : 380.16 = 227.34 : x
  2. Step 2: Convert to fraction form
    252.90/380.16 = 227.34/x
  3. Step 3: Cross multiply
    252.90x = 380.16 × 227.34
  4. Step 4: Simplify right side
    252.90x = 86,425.57
  5. Step 5: Solve for x
    x = 86,425.57/252.90
  6. Step 6: Final answer
    x = 341.74

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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.