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Finding the Fourth Proportional to 226.86, 312.30 and 204.96

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Solution

The fourth proportional to 226.86, 312.30 and 204.96 is: 282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.86 : 312.30 = 204.96 : x
  2. Step 2: Convert to fraction form
    226.86/312.30 = 204.96/x
  3. Step 3: Cross multiply
    226.86x = 312.30 × 204.96
  4. Step 4: Simplify right side
    226.86x = 64,009.01
  5. Step 5: Solve for x
    x = 64,009.01/226.86
  6. Step 6: Final answer
    x = 282.15

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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.