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Finding the Fourth Proportional to 183.20, 274.10 and 106.20

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Solution

The fourth proportional to 183.20, 274.10 and 106.20 is: 158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.20 : 274.10 = 106.20 : x
  2. Step 2: Convert to fraction form
    183.20/274.10 = 106.20/x
  3. Step 3: Cross multiply
    183.20x = 274.10 × 106.20
  4. Step 4: Simplify right side
    183.20x = 29,108.89
  5. Step 5: Solve for x
    x = 29,108.89/183.20
  6. Step 6: Final answer
    x = 158.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.