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Finding the Fourth Proportional to 222.73, 307.31 and 167.34

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Solution

The fourth proportional to 222.73, 307.31 and 167.34 is: 230.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.73 : 307.31 = 167.34 : x
  2. Step 2: Convert to fraction form
    222.73/307.31 = 167.34/x
  3. Step 3: Cross multiply
    222.73x = 307.31 × 167.34
  4. Step 4: Simplify right side
    222.73x = 51,425.26
  5. Step 5: Solve for x
    x = 51,425.26/222.73
  6. Step 6: Final answer
    x = 230.89

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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.