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Finding the Fourth Proportional to 164.42, 227.14 and 129.54

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Solution

The fourth proportional to 164.42, 227.14 and 129.54 is: 178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.42 : 227.14 = 129.54 : x
  2. Step 2: Convert to fraction form
    164.42/227.14 = 129.54/x
  3. Step 3: Cross multiply
    164.42x = 227.14 × 129.54
  4. Step 4: Simplify right side
    164.42x = 29,423.72
  5. Step 5: Solve for x
    x = 29,423.72/164.42
  6. Step 6: Final answer
    x = 178.95

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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.