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Finding the Fourth Proportional to 184.12, 274.82 and 167.92

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Solution

The fourth proportional to 184.12, 274.82 and 167.92 is: 250.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.12 : 274.82 = 167.92 : x
  2. Step 2: Convert to fraction form
    184.12/274.82 = 167.92/x
  3. Step 3: Cross multiply
    184.12x = 274.82 × 167.92
  4. Step 4: Simplify right side
    184.12x = 46,147.77
  5. Step 5: Solve for x
    x = 46,147.77/184.12
  6. Step 6: Final answer
    x = 250.64

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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.