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Finding the Fourth Proportional to 227.16, 341.46 and 214.20

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Solution

The fourth proportional to 227.16, 341.46 and 214.20 is: 321.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.16 : 341.46 = 214.20 : x
  2. Step 2: Convert to fraction form
    227.16/341.46 = 214.20/x
  3. Step 3: Cross multiply
    227.16x = 341.46 × 214.20
  4. Step 4: Simplify right side
    227.16x = 73,140.73
  5. Step 5: Solve for x
    x = 73,140.73/227.16
  6. Step 6: Final answer
    x = 321.98

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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.