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Finding the Fourth Proportional to 229.43, 316.91 and 167.47

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Solution

The fourth proportional to 229.43, 316.91 and 167.47 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.43 : 316.91 = 167.47 : x
  2. Step 2: Convert to fraction form
    229.43/316.91 = 167.47/x
  3. Step 3: Cross multiply
    229.43x = 316.91 × 167.47
  4. Step 4: Simplify right side
    229.43x = 53,072.92
  5. Step 5: Solve for x
    x = 53,072.92/229.43
  6. Step 6: Final answer
    x = 231.33

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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.