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Finding the Fourth Proportional to 175.96, 264.27 and 168.28

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Solution

The fourth proportional to 175.96, 264.27 and 168.28 is: 252.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.96 : 264.27 = 168.28 : x
  2. Step 2: Convert to fraction form
    175.96/264.27 = 168.28/x
  3. Step 3: Cross multiply
    175.96x = 264.27 × 168.28
  4. Step 4: Simplify right side
    175.96x = 44,471.36
  5. Step 5: Solve for x
    x = 44,471.36/175.96
  6. Step 6: Final answer
    x = 252.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.