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Finding the Fourth Proportional to 167.22, 230.58 and 108.90

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Solution

The fourth proportional to 167.22, 230.58 and 108.90 is: 150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.22 : 230.58 = 108.90 : x
  2. Step 2: Convert to fraction form
    167.22/230.58 = 108.90/x
  3. Step 3: Cross multiply
    167.22x = 230.58 × 108.90
  4. Step 4: Simplify right side
    167.22x = 25,110.16
  5. Step 5: Solve for x
    x = 25,110.16/167.22
  6. Step 6: Final answer
    x = 150.16

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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.