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Finding the Fourth Proportional to 199.28, 275.00 and 111.94

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Solution

The fourth proportional to 199.28, 275.00 and 111.94 is: 154.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.28 : 275.00 = 111.94 : x
  2. Step 2: Convert to fraction form
    199.28/275.00 = 111.94/x
  3. Step 3: Cross multiply
    199.28x = 275.00 × 111.94
  4. Step 4: Simplify right side
    199.28x = 30,782.25
  5. Step 5: Solve for x
    x = 30,782.25/199.28
  6. Step 6: Final answer
    x = 154.47

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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.