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Finding the Fourth Proportional to 164.06, 246.23 and 135.81

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Solution

The fourth proportional to 164.06, 246.23 and 135.81 is: 203.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.06 : 246.23 = 135.81 : x
  2. Step 2: Convert to fraction form
    164.06/246.23 = 135.81/x
  3. Step 3: Cross multiply
    164.06x = 246.23 × 135.81
  4. Step 4: Simplify right side
    164.06x = 33,440.50
  5. Step 5: Solve for x
    x = 33,440.50/164.06
  6. Step 6: Final answer
    x = 203.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.