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Finding the Fourth Proportional to 170.36, 233.41 and 167.96

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Solution

The fourth proportional to 170.36, 233.41 and 167.96 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.36 : 233.41 = 167.96 : x
  2. Step 2: Convert to fraction form
    170.36/233.41 = 167.96/x
  3. Step 3: Cross multiply
    170.36x = 233.41 × 167.96
  4. Step 4: Simplify right side
    170.36x = 39,203.54
  5. Step 5: Solve for x
    x = 39,203.54/170.36
  6. Step 6: Final answer
    x = 230.12

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.