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Finding the Fourth Proportional to 199.30, 275.04 and 111.97

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Solution

The fourth proportional to 199.30, 275.04 and 111.97 is: 154.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.30 : 275.04 = 111.97 : x
  2. Step 2: Convert to fraction form
    199.30/275.04 = 111.97/x
  3. Step 3: Cross multiply
    199.30x = 275.04 × 111.97
  4. Step 4: Simplify right side
    199.30x = 30,796.23
  5. Step 5: Solve for x
    x = 30,796.23/199.30
  6. Step 6: Final answer
    x = 154.52

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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.