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Finding the Fourth Proportional to 199.73, 275.64 and 112.43

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Solution

The fourth proportional to 199.73, 275.64 and 112.43 is: 155.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.73 : 275.64 = 112.43 : x
  2. Step 2: Convert to fraction form
    199.73/275.64 = 112.43/x
  3. Step 3: Cross multiply
    199.73x = 275.64 × 112.43
  4. Step 4: Simplify right side
    199.73x = 30,990.21
  5. Step 5: Solve for x
    x = 30,990.21/199.73
  6. Step 6: Final answer
    x = 155.16

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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.