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Finding the Fourth Proportional to 183.74, 275.79 and 126.05

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Solution

The fourth proportional to 183.74, 275.79 and 126.05 is: 189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.74 : 275.79 = 126.05 : x
  2. Step 2: Convert to fraction form
    183.74/275.79 = 126.05/x
  3. Step 3: Cross multiply
    183.74x = 275.79 × 126.05
  4. Step 4: Simplify right side
    183.74x = 34,761.95
  5. Step 5: Solve for x
    x = 34,761.95/183.74
  6. Step 6: Final answer
    x = 189.20

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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.