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Finding the Fourth Proportional to 169.40, 233.44 and 132.56

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Solution

The fourth proportional to 169.40, 233.44 and 132.56 is: 182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.40 : 233.44 = 132.56 : x
  2. Step 2: Convert to fraction form
    169.40/233.44 = 132.56/x
  3. Step 3: Cross multiply
    169.40x = 233.44 × 132.56
  4. Step 4: Simplify right side
    169.40x = 30,944.81
  5. Step 5: Solve for x
    x = 30,944.81/169.40
  6. Step 6: Final answer
    x = 182.67

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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.