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Finding the Fourth Proportional to 252.68, 347.74 and 226.76

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Solution

The fourth proportional to 252.68, 347.74 and 226.76 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.68 : 347.74 = 226.76 : x
  2. Step 2: Convert to fraction form
    252.68/347.74 = 226.76/x
  3. Step 3: Cross multiply
    252.68x = 347.74 × 226.76
  4. Step 4: Simplify right side
    252.68x = 78,853.52
  5. Step 5: Solve for x
    x = 78,853.52/252.68
  6. Step 6: Final answer
    x = 312.07

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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.