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Finding the Fourth Proportional to 184.22, 274.90 and 163.76

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Solution

The fourth proportional to 184.22, 274.90 and 163.76 is: 244.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.22 : 274.90 = 163.76 : x
  2. Step 2: Convert to fraction form
    184.22/274.90 = 163.76/x
  3. Step 3: Cross multiply
    184.22x = 274.90 × 163.76
  4. Step 4: Simplify right side
    184.22x = 45,017.90
  5. Step 5: Solve for x
    x = 45,017.90/184.22
  6. Step 6: Final answer
    x = 244.38

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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.