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Finding the Fourth Proportional to 199.10, 274.75 and 111.77

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Solution

The fourth proportional to 199.10, 274.75 and 111.77 is: 154.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.10 : 274.75 = 111.77 : x
  2. Step 2: Convert to fraction form
    199.10/274.75 = 111.77/x
  3. Step 3: Cross multiply
    199.10x = 274.75 × 111.77
  4. Step 4: Simplify right side
    199.10x = 30,708.81
  5. Step 5: Solve for x
    x = 30,708.81/199.10
  6. Step 6: Final answer
    x = 154.24

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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.