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Finding the Fourth Proportional to 174.96, 262.24 and 165.34

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Solution

The fourth proportional to 174.96, 262.24 and 165.34 is: 247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.96 : 262.24 = 165.34 : x
  2. Step 2: Convert to fraction form
    174.96/262.24 = 165.34/x
  3. Step 3: Cross multiply
    174.96x = 262.24 × 165.34
  4. Step 4: Simplify right side
    174.96x = 43,358.76
  5. Step 5: Solve for x
    x = 43,358.76/174.96
  6. Step 6: Final answer
    x = 247.82

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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.