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Finding the Fourth Proportional to 183.44, 275.10 and 106.38

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Solution

The fourth proportional to 183.44, 275.10 and 106.38 is: 159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.44 : 275.10 = 106.38 : x
  2. Step 2: Convert to fraction form
    183.44/275.10 = 106.38/x
  3. Step 3: Cross multiply
    183.44x = 275.10 × 106.38
  4. Step 4: Simplify right side
    183.44x = 29,265.14
  5. Step 5: Solve for x
    x = 29,265.14/183.44
  6. Step 6: Final answer
    x = 159.54

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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.