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Finding the Fourth Proportional to 167.49, 229.64 and 167.22

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Solution

The fourth proportional to 167.49, 229.64 and 167.22 is: 229.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.49 : 229.64 = 167.22 : x
  2. Step 2: Convert to fraction form
    167.49/229.64 = 167.22/x
  3. Step 3: Cross multiply
    167.49x = 229.64 × 167.22
  4. Step 4: Simplify right side
    167.49x = 38,399.56
  5. Step 5: Solve for x
    x = 38,399.56/167.49
  6. Step 6: Final answer
    x = 229.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.