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Finding the Fourth Proportional to 184.22, 274.08 and 173.29

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Solution

The fourth proportional to 184.22, 274.08 and 173.29 is: 257.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.22 : 274.08 = 173.29 : x
  2. Step 2: Convert to fraction form
    184.22/274.08 = 173.29/x
  3. Step 3: Cross multiply
    184.22x = 274.08 × 173.29
  4. Step 4: Simplify right side
    184.22x = 47,494.71
  5. Step 5: Solve for x
    x = 47,494.71/184.22
  6. Step 6: Final answer
    x = 257.81

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Why These Related Problems?

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