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Finding the Fourth Proportional to 164.46, 246.53 and 106.72

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Solution

The fourth proportional to 164.46, 246.53 and 106.72 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.46 : 246.53 = 106.72 : x
  2. Step 2: Convert to fraction form
    164.46/246.53 = 106.72/x
  3. Step 3: Cross multiply
    164.46x = 246.53 × 106.72
  4. Step 4: Simplify right side
    164.46x = 26,309.15
  5. Step 5: Solve for x
    x = 26,309.15/164.46
  6. Step 6: Final answer
    x = 159.97

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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.