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Finding the Fourth Proportional to 251.68, 346.36 and 225.76

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Solution

The fourth proportional to 251.68, 346.36 and 225.76 is: 310.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.68 : 346.36 = 225.76 : x
  2. Step 2: Convert to fraction form
    251.68/346.36 = 225.76/x
  3. Step 3: Cross multiply
    251.68x = 346.36 × 225.76
  4. Step 4: Simplify right side
    251.68x = 78,194.23
  5. Step 5: Solve for x
    x = 78,194.23/251.68
  6. Step 6: Final answer
    x = 310.69

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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.