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Finding the Fourth Proportional to 199.99, 276.00 and 111.48

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Solution

The fourth proportional to 199.99, 276.00 and 111.48 is: 153.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.99 : 276.00 = 111.48 : x
  2. Step 2: Convert to fraction form
    199.99/276.00 = 111.48/x
  3. Step 3: Cross multiply
    199.99x = 276.00 × 111.48
  4. Step 4: Simplify right side
    199.99x = 30,769.10
  5. Step 5: Solve for x
    x = 30,769.10/199.99
  6. Step 6: Final answer
    x = 153.86

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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.