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Finding the Fourth Proportional to 167.04, 229.96 and 142.34

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Solution

The fourth proportional to 167.04, 229.96 and 142.34 is: 195.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.04 : 229.96 = 142.34 : x
  2. Step 2: Convert to fraction form
    167.04/229.96 = 142.34/x
  3. Step 3: Cross multiply
    167.04x = 229.96 × 142.34
  4. Step 4: Simplify right side
    167.04x = 32,732.51
  5. Step 5: Solve for x
    x = 32,732.51/167.04
  6. Step 6: Final answer
    x = 195.96

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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.