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Finding the Fourth Proportional to 252.70, 349.11 and 227.10

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Solution

The fourth proportional to 252.70, 349.11 and 227.10 is: 313.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.70 : 349.11 = 227.10 : x
  2. Step 2: Convert to fraction form
    252.70/349.11 = 227.10/x
  3. Step 3: Cross multiply
    252.70x = 349.11 × 227.10
  4. Step 4: Simplify right side
    252.70x = 79,282.88
  5. Step 5: Solve for x
    x = 79,282.88/252.70
  6. Step 6: Final answer
    x = 313.74

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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.