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Finding the Fourth Proportional to 176.22, 262.26 and 169.74

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Solution

The fourth proportional to 176.22, 262.26 and 169.74 is: 252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 262.26 = 169.74 : x
  2. Step 2: Convert to fraction form
    176.22/262.26 = 169.74/x
  3. Step 3: Cross multiply
    176.22x = 262.26 × 169.74
  4. Step 4: Simplify right side
    176.22x = 44,516.01
  5. Step 5: Solve for x
    x = 44,516.01/176.22
  6. Step 6: Final answer
    x = 252.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.