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Finding the Fourth Proportional to 164.73, 246.96 and 135.66

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Solution

The fourth proportional to 164.73, 246.96 and 135.66 is: 203.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.73 : 246.96 = 135.66 : x
  2. Step 2: Convert to fraction form
    164.73/246.96 = 135.66/x
  3. Step 3: Cross multiply
    164.73x = 246.96 × 135.66
  4. Step 4: Simplify right side
    164.73x = 33,502.59
  5. Step 5: Solve for x
    x = 33,502.59/164.73
  6. Step 6: Final answer
    x = 203.38

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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.