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Finding the Fourth Proportional to 167.36, 230.83 and 127.92

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Solution

The fourth proportional to 167.36, 230.83 and 127.92 is: 176.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.36 : 230.83 = 127.92 : x
  2. Step 2: Convert to fraction form
    167.36/230.83 = 127.92/x
  3. Step 3: Cross multiply
    167.36x = 230.83 × 127.92
  4. Step 4: Simplify right side
    167.36x = 29,528.53
  5. Step 5: Solve for x
    x = 29,528.53/167.36
  6. Step 6: Final answer
    x = 176.43

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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.