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Finding the Fourth Proportional to 199.94, 275.92 and 112.60

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Solution

The fourth proportional to 199.94, 275.92 and 112.60 is: 155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.94 : 275.92 = 112.60 : x
  2. Step 2: Convert to fraction form
    199.94/275.92 = 112.60/x
  3. Step 3: Cross multiply
    199.94x = 275.92 × 112.60
  4. Step 4: Simplify right side
    199.94x = 31,067.68
  5. Step 5: Solve for x
    x = 31,067.68/199.94
  6. Step 6: Final answer
    x = 155.38

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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.