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Finding the Fourth Proportional to 165.72, 246.74 and 164.10

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Solution

The fourth proportional to 165.72, 246.74 and 164.10 is: 244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.72 : 246.74 = 164.10 : x
  2. Step 2: Convert to fraction form
    165.72/246.74 = 164.10/x
  3. Step 3: Cross multiply
    165.72x = 246.74 × 164.10
  4. Step 4: Simplify right side
    165.72x = 40,489.21
  5. Step 5: Solve for x
    x = 40,489.21/165.72
  6. Step 6: Final answer
    x = 244.32

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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.