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Finding the Fourth Proportional to 164.40, 227.02 and 131.86

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Solution

The fourth proportional to 164.40, 227.02 and 131.86 is: 182.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.40 : 227.02 = 131.86 : x
  2. Step 2: Convert to fraction form
    164.40/227.02 = 131.86/x
  3. Step 3: Cross multiply
    164.40x = 227.02 × 131.86
  4. Step 4: Simplify right side
    164.40x = 29,934.86
  5. Step 5: Solve for x
    x = 29,934.86/164.40
  6. Step 6: Final answer
    x = 182.09

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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.