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Finding the Fourth Proportional to 199.70, 275.74 and 137.73

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Solution

The fourth proportional to 199.70, 275.74 and 137.73 is: 190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.70 : 275.74 = 137.73 : x
  2. Step 2: Convert to fraction form
    199.70/275.74 = 137.73/x
  3. Step 3: Cross multiply
    199.70x = 275.74 × 137.73
  4. Step 4: Simplify right side
    199.70x = 37,977.67
  5. Step 5: Solve for x
    x = 37,977.67/199.70
  6. Step 6: Final answer
    x = 190.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.