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Finding the Fourth Proportional to 167.23, 230.16 and 142.57

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Solution

The fourth proportional to 167.23, 230.16 and 142.57 is: 196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.23 : 230.16 = 142.57 : x
  2. Step 2: Convert to fraction form
    167.23/230.16 = 142.57/x
  3. Step 3: Cross multiply
    167.23x = 230.16 × 142.57
  4. Step 4: Simplify right side
    167.23x = 32,813.91
  5. Step 5: Solve for x
    x = 32,813.91/167.23
  6. Step 6: Final answer
    x = 196.22

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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.