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Finding the Fourth Proportional to 226.82, 314.61 and 218.58

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Solution

The fourth proportional to 226.82, 314.61 and 218.58 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.82 : 314.61 = 218.58 : x
  2. Step 2: Convert to fraction form
    226.82/314.61 = 218.58/x
  3. Step 3: Cross multiply
    226.82x = 314.61 × 218.58
  4. Step 4: Simplify right side
    226.82x = 68,767.45
  5. Step 5: Solve for x
    x = 68,767.45/226.82
  6. Step 6: Final answer
    x = 303.19

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.