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Finding the Fourth Proportional to 168.85, 253.27 and 110.42

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Solution

The fourth proportional to 168.85, 253.27 and 110.42 is: 165.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.85 : 253.27 = 110.42 : x
  2. Step 2: Convert to fraction form
    168.85/253.27 = 110.42/x
  3. Step 3: Cross multiply
    168.85x = 253.27 × 110.42
  4. Step 4: Simplify right side
    168.85x = 27,964.81
  5. Step 5: Solve for x
    x = 27,964.81/168.85
  6. Step 6: Final answer
    x = 165.62

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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.