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Finding the Fourth Proportional to 167.06, 230.50 and 111.84

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Solution

The fourth proportional to 167.06, 230.50 and 111.84 is: 154.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.06 : 230.50 = 111.84 : x
  2. Step 2: Convert to fraction form
    167.06/230.50 = 111.84/x
  3. Step 3: Cross multiply
    167.06x = 230.50 × 111.84
  4. Step 4: Simplify right side
    167.06x = 25,779.12
  5. Step 5: Solve for x
    x = 25,779.12/167.06
  6. Step 6: Final answer
    x = 154.31

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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.