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Finding the Fourth Proportional to 167.80, 231.28 and 123.58

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Solution

The fourth proportional to 167.80, 231.28 and 123.58 is: 170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.80 : 231.28 = 123.58 : x
  2. Step 2: Convert to fraction form
    167.80/231.28 = 123.58/x
  3. Step 3: Cross multiply
    167.80x = 231.28 × 123.58
  4. Step 4: Simplify right side
    167.80x = 28,581.58
  5. Step 5: Solve for x
    x = 28,581.58/167.80
  6. Step 6: Final answer
    x = 170.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.