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Finding the Fourth Proportional to 184.24, 252.74 and 173.20

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Solution

The fourth proportional to 184.24, 252.74 and 173.20 is: 237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.24 : 252.74 = 173.20 : x
  2. Step 2: Convert to fraction form
    184.24/252.74 = 173.20/x
  3. Step 3: Cross multiply
    184.24x = 252.74 × 173.20
  4. Step 4: Simplify right side
    184.24x = 43,774.57
  5. Step 5: Solve for x
    x = 43,774.57/184.24
  6. Step 6: Final answer
    x = 237.60

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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.