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Finding the Fourth Proportional to 167.92, 230.94 and 153.76

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Solution

The fourth proportional to 167.92, 230.94 and 153.76 is: 211.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.92 : 230.94 = 153.76 : x
  2. Step 2: Convert to fraction form
    167.92/230.94 = 153.76/x
  3. Step 3: Cross multiply
    167.92x = 230.94 × 153.76
  4. Step 4: Simplify right side
    167.92x = 35,509.33
  5. Step 5: Solve for x
    x = 35,509.33/167.92
  6. Step 6: Final answer
    x = 211.47

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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.