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Finding the Fourth Proportional to 173.55, 258.97 and 169.43

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Solution

The fourth proportional to 173.55, 258.97 and 169.43 is: 252.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.55 : 258.97 = 169.43 : x
  2. Step 2: Convert to fraction form
    173.55/258.97 = 169.43/x
  3. Step 3: Cross multiply
    173.55x = 258.97 × 169.43
  4. Step 4: Simplify right side
    173.55x = 43,877.51
  5. Step 5: Solve for x
    x = 43,877.51/173.55
  6. Step 6: Final answer
    x = 252.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.