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Finding the Fourth Proportional to 164.53, 227.00 and 102.36

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Solution

The fourth proportional to 164.53, 227.00 and 102.36 is: 141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 227.00 = 102.36 : x
  2. Step 2: Convert to fraction form
    164.53/227.00 = 102.36/x
  3. Step 3: Cross multiply
    164.53x = 227.00 × 102.36
  4. Step 4: Simplify right side
    164.53x = 23,236.83
  5. Step 5: Solve for x
    x = 23,236.83/164.53
  6. Step 6: Final answer
    x = 141.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.