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Finding the Fourth Proportional to 291.20, 400.92 and 225.68

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Solution

The fourth proportional to 291.20, 400.92 and 225.68 is: 310.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.20 : 400.92 = 225.68 : x
  2. Step 2: Convert to fraction form
    291.20/400.92 = 225.68/x
  3. Step 3: Cross multiply
    291.20x = 400.92 × 225.68
  4. Step 4: Simplify right side
    291.20x = 90,479.63
  5. Step 5: Solve for x
    x = 90,479.63/291.20
  6. Step 6: Final answer
    x = 310.71

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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.