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Finding the Fourth Proportional to 167.31, 230.77 and 153.54

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Solution

The fourth proportional to 167.31, 230.77 and 153.54 is: 211.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.31 : 230.77 = 153.54 : x
  2. Step 2: Convert to fraction form
    167.31/230.77 = 153.54/x
  3. Step 3: Cross multiply
    167.31x = 230.77 × 153.54
  4. Step 4: Simplify right side
    167.31x = 35,430.50
  5. Step 5: Solve for x
    x = 35,430.50/167.31
  6. Step 6: Final answer
    x = 211.77

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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.