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Finding the Fourth Proportional to 164.96, 227.76 and 132.24

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Solution

The fourth proportional to 164.96, 227.76 and 132.24 is: 182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.96 : 227.76 = 132.24 : x
  2. Step 2: Convert to fraction form
    164.96/227.76 = 132.24/x
  3. Step 3: Cross multiply
    164.96x = 227.76 × 132.24
  4. Step 4: Simplify right side
    164.96x = 30,118.98
  5. Step 5: Solve for x
    x = 30,118.98/164.96
  6. Step 6: Final answer
    x = 182.58

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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.