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Finding the Fourth Proportional to 167.73, 230.24 and 153.15

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Solution

The fourth proportional to 167.73, 230.24 and 153.15 is: 210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.73 : 230.24 = 153.15 : x
  2. Step 2: Convert to fraction form
    167.73/230.24 = 153.15/x
  3. Step 3: Cross multiply
    167.73x = 230.24 × 153.15
  4. Step 4: Simplify right side
    167.73x = 35,260.49
  5. Step 5: Solve for x
    x = 35,260.49/167.73
  6. Step 6: Final answer
    x = 210.22

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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.