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Finding the Fourth Proportional to 169.07, 233.22 and 132.21

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Solution

The fourth proportional to 169.07, 233.22 and 132.21 is: 182.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.07 : 233.22 = 132.21 : x
  2. Step 2: Convert to fraction form
    169.07/233.22 = 132.21/x
  3. Step 3: Cross multiply
    169.07x = 233.22 × 132.21
  4. Step 4: Simplify right side
    169.07x = 30,834.02
  5. Step 5: Solve for x
    x = 30,834.02/169.07
  6. Step 6: Final answer
    x = 182.37

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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.