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Finding the Fourth Proportional to 185.31, 254.97 and 173.16

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Solution

The fourth proportional to 185.31, 254.97 and 173.16 is: 238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.31 : 254.97 = 173.16 : x
  2. Step 2: Convert to fraction form
    185.31/254.97 = 173.16/x
  3. Step 3: Cross multiply
    185.31x = 254.97 × 173.16
  4. Step 4: Simplify right side
    185.31x = 44,150.61
  5. Step 5: Solve for x
    x = 44,150.61/185.31
  6. Step 6: Final answer
    x = 238.25

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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.