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Finding the Fourth Proportional to 199.42, 275.20 and 112.09

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Solution

The fourth proportional to 199.42, 275.20 and 112.09 is: 154.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.42 : 275.20 = 112.09 : x
  2. Step 2: Convert to fraction form
    199.42/275.20 = 112.09/x
  3. Step 3: Cross multiply
    199.42x = 275.20 × 112.09
  4. Step 4: Simplify right side
    199.42x = 30,847.17
  5. Step 5: Solve for x
    x = 30,847.17/199.42
  6. Step 6: Final answer
    x = 154.68

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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.