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Finding the Fourth Proportional to 176.22, 241.43 and 169.74

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Solution

The fourth proportional to 176.22, 241.43 and 169.74 is: 232.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.22 : 241.43 = 169.74 : x
  2. Step 2: Convert to fraction form
    176.22/241.43 = 169.74/x
  3. Step 3: Cross multiply
    176.22x = 241.43 × 169.74
  4. Step 4: Simplify right side
    176.22x = 40,979.48
  5. Step 5: Solve for x
    x = 40,979.48/176.22
  6. Step 6: Final answer
    x = 232.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.