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Finding the Fourth Proportional to 174.10, 261.22 and 168.34

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Solution

The fourth proportional to 174.10, 261.22 and 168.34 is: 252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.10 : 261.22 = 168.34 : x
  2. Step 2: Convert to fraction form
    174.10/261.22 = 168.34/x
  3. Step 3: Cross multiply
    174.10x = 261.22 × 168.34
  4. Step 4: Simplify right side
    174.10x = 43,973.77
  5. Step 5: Solve for x
    x = 43,973.77/174.10
  6. Step 6: Final answer
    x = 252.58

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