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Finding the Fourth Proportional to 167.23, 230.76 and 97.30

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Solution

The fourth proportional to 167.23, 230.76 and 97.30 is: 134.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.23 : 230.76 = 97.30 : x
  2. Step 2: Convert to fraction form
    167.23/230.76 = 97.30/x
  3. Step 3: Cross multiply
    167.23x = 230.76 × 97.30
  4. Step 4: Simplify right side
    167.23x = 22,452.95
  5. Step 5: Solve for x
    x = 22,452.95/167.23
  6. Step 6: Final answer
    x = 134.26

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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.