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Finding the Fourth Proportional to 171.06, 234.48 and 169.26

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Solution

The fourth proportional to 171.06, 234.48 and 169.26 is: 232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.06 : 234.48 = 169.26 : x
  2. Step 2: Convert to fraction form
    171.06/234.48 = 169.26/x
  3. Step 3: Cross multiply
    171.06x = 234.48 × 169.26
  4. Step 4: Simplify right side
    171.06x = 39,688.08
  5. Step 5: Solve for x
    x = 39,688.08/171.06
  6. Step 6: Final answer
    x = 232.01

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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.