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Finding the Fourth Proportional to 249.84, 345.11 and 226.55

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Solution

The fourth proportional to 249.84, 345.11 and 226.55 is: 312.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.84 : 345.11 = 226.55 : x
  2. Step 2: Convert to fraction form
    249.84/345.11 = 226.55/x
  3. Step 3: Cross multiply
    249.84x = 345.11 × 226.55
  4. Step 4: Simplify right side
    249.84x = 78,181.81
  5. Step 5: Solve for x
    x = 78,181.81/249.84
  6. Step 6: Final answer
    x = 312.93

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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.