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Finding the Fourth Proportional to 199.92, 275.76 and 137.73

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Solution

The fourth proportional to 199.92, 275.76 and 137.73 is: 189.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.92 : 275.76 = 137.73 : x
  2. Step 2: Convert to fraction form
    199.92/275.76 = 137.73/x
  3. Step 3: Cross multiply
    199.92x = 275.76 × 137.73
  4. Step 4: Simplify right side
    199.92x = 37,980.42
  5. Step 5: Solve for x
    x = 37,980.42/199.92
  6. Step 6: Final answer
    x = 189.98

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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.