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Finding the Fourth Proportional to 226.32, 312 and 182.64

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Solution

The fourth proportional to 226.32, 312 and 182.64 is: 251.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.32 : 312 = 182.64 : x
  2. Step 2: Convert to fraction form
    226.32/312 = 182.64/x
  3. Step 3: Cross multiply
    226.32x = 312 × 182.64
  4. Step 4: Simplify right side
    226.32x = 56,983.68
  5. Step 5: Solve for x
    x = 56,983.68/226.32
  6. Step 6: Final answer
    x = 251.78

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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.