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Finding the Fourth Proportional to 173.48, 237.78 and 167.33

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Solution

The fourth proportional to 173.48, 237.78 and 167.33 is: 229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.48 : 237.78 = 167.33 : x
  2. Step 2: Convert to fraction form
    173.48/237.78 = 167.33/x
  3. Step 3: Cross multiply
    173.48x = 237.78 × 167.33
  4. Step 4: Simplify right side
    173.48x = 39,786.54
  5. Step 5: Solve for x
    x = 39,786.54/173.48
  6. Step 6: Final answer
    x = 229.35

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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.