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Finding the Fourth Proportional to 167.64, 230.90 and 144.28

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Solution

The fourth proportional to 167.64, 230.90 and 144.28 is: 198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.64 : 230.90 = 144.28 : x
  2. Step 2: Convert to fraction form
    167.64/230.90 = 144.28/x
  3. Step 3: Cross multiply
    167.64x = 230.90 × 144.28
  4. Step 4: Simplify right side
    167.64x = 33,314.25
  5. Step 5: Solve for x
    x = 33,314.25/167.64
  6. Step 6: Final answer
    x = 198.72

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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.