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Finding the Fourth Proportional to 251.56, 347.70 and 232.12

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Solution

The fourth proportional to 251.56, 347.70 and 232.12 is: 320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.56 : 347.70 = 232.12 : x
  2. Step 2: Convert to fraction form
    251.56/347.70 = 232.12/x
  3. Step 3: Cross multiply
    251.56x = 347.70 × 232.12
  4. Step 4: Simplify right side
    251.56x = 80,708.12
  5. Step 5: Solve for x
    x = 80,708.12/251.56
  6. Step 6: Final answer
    x = 320.83

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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.