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Finding the Fourth Proportional to 226.70, 341.66 and 214.14

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Solution

The fourth proportional to 226.70, 341.66 and 214.14 is: 322.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.70 : 341.66 = 214.14 : x
  2. Step 2: Convert to fraction form
    226.70/341.66 = 214.14/x
  3. Step 3: Cross multiply
    226.70x = 341.66 × 214.14
  4. Step 4: Simplify right side
    226.70x = 73,163.07
  5. Step 5: Solve for x
    x = 73,163.07/226.70
  6. Step 6: Final answer
    x = 322.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.