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Finding the Fourth Proportional to 192.28, 264.72 and 167.59

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Solution

The fourth proportional to 192.28, 264.72 and 167.59 is: 230.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.28 : 264.72 = 167.59 : x
  2. Step 2: Convert to fraction form
    192.28/264.72 = 167.59/x
  3. Step 3: Cross multiply
    192.28x = 264.72 × 167.59
  4. Step 4: Simplify right side
    192.28x = 44,364.42
  5. Step 5: Solve for x
    x = 44,364.42/192.28
  6. Step 6: Final answer
    x = 230.73

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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.