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Finding the Fourth Proportional to 226.46, 312.16 and 207.82

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Solution

The fourth proportional to 226.46, 312.16 and 207.82 is: 286.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.46 : 312.16 = 207.82 : x
  2. Step 2: Convert to fraction form
    226.46/312.16 = 207.82/x
  3. Step 3: Cross multiply
    226.46x = 312.16 × 207.82
  4. Step 4: Simplify right side
    226.46x = 64,873.09
  5. Step 5: Solve for x
    x = 64,873.09/226.46
  6. Step 6: Final answer
    x = 286.47

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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.