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Finding the Fourth Proportional to 199.92, 275.84 and 137.86

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Solution

The fourth proportional to 199.92, 275.84 and 137.86 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.92 : 275.84 = 137.86 : x
  2. Step 2: Convert to fraction form
    199.92/275.84 = 137.86/x
  3. Step 3: Cross multiply
    199.92x = 275.84 × 137.86
  4. Step 4: Simplify right side
    199.92x = 38,026.61
  5. Step 5: Solve for x
    x = 38,026.61/199.92
  6. Step 6: Final answer
    x = 190.21

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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.