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Finding the Fourth Proportional to 164.96, 227.40 and 141.54

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Solution

The fourth proportional to 164.96, 227.40 and 141.54 is: 195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.96 : 227.40 = 141.54 : x
  2. Step 2: Convert to fraction form
    164.96/227.40 = 141.54/x
  3. Step 3: Cross multiply
    164.96x = 227.40 × 141.54
  4. Step 4: Simplify right side
    164.96x = 32,186.20
  5. Step 5: Solve for x
    x = 32,186.20/164.96
  6. Step 6: Final answer
    x = 195.12

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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.