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Finding the Fourth Proportional to 169.60, 252.74 and 165.64

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Solution

The fourth proportional to 169.60, 252.74 and 165.64 is: 246.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.60 : 252.74 = 165.64 : x
  2. Step 2: Convert to fraction form
    169.60/252.74 = 165.64/x
  3. Step 3: Cross multiply
    169.60x = 252.74 × 165.64
  4. Step 4: Simplify right side
    169.60x = 41,863.85
  5. Step 5: Solve for x
    x = 41,863.85/169.60
  6. Step 6: Final answer
    x = 246.84

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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.